A cylinder has a diameter of 10 inches and a height of 14 inches. what is the volume of the cylinder? use 3.14 for pi?
_______cubic inches

Answers

Answer 1

Answer:

Volume of cylinder is 1099 in³

[tex]\\[/tex]

Step-by-step explanation:

[tex]\\[/tex]

Diameter of cylinder = 10 inchesHeight of cylinder = 14 inches

[tex]\\[/tex]

We know that,

[tex]\dashrightarrow \sf \: \: Radius = \dfrac{Diameter}{2} \\ \\[/tex]

[tex]\dashrightarrow \sf \: \: Radius = \dfrac{10}{2} \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: { \underline { \boxed{ \pmb{ \sf{ \pink{ Radius = 5 \: inches}}}}}} \\ \\ [/tex]

Using formula:

[tex] \: \: \: \: \: \: {\underline{\boxed{\pmb{\sf{Volume \: of \: cylinder = \pi r^2h}}}}} \: \pink\star \\ \\ [/tex]

Where,

r is radius of the cylinderh is height of the cylinderπ = 3.14

[tex]\\[/tex]

Substituting the required values in the formula:

[tex]\dashrightarrow \sf \: \: Volume = 3.14 × (5)^2 × 14 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: Volume = 3.14 \times 25 \times 14 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: Volume = 78.5 \times 14 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: { \underline{\boxed { \pmb{ \sf{ \pink{Volume = 1099 \: {in}^{3} }}}}}} \\ \\ [/tex]

Hence,

Volume of the cylinder is 1099 in³

Related Questions

ABDE is a rectangle on coordinate axes, the sides of the rectangle are parallel to the axes,
Point C is the centre of the rectangle
What are the coordinates of B and D

Answers

The coordinates of B and D are the location of the vertices B and D in the rectangle

The coordinates of B and D are (55, 30) and (55, 14)

How to determine the coordinates of B and D?

From the figure of the rectangle, we have:

A = (25,30)

C = (40, 22)

Point B has the same y-coordinate as point A

So, we have:

B = (x, 30)

The x-coordinate is then calculated as:

Bx = 2Cx - Ax

This gives

Bx = 2*40 - 25

Bx = 55

So, the coordinates of B are:

B = (55, 30)

Point D has the same x-coordinate as point B

So, we have:

D = (55, y)

The y-coordinate is then calculated as:

Dy = Cy - (By - Cy)

This gives

Dy = 22 - (30 - 22)

Dy = 14

So, the coordinates of B are:

D = (55, 14)

Hence, the coordinates of B and D are (55, 30) and (55, 14)

Read more about rectangles at:

https://brainly.com/question/10737082

Haley has $155 in savings, and her brother Hank has $230. Hayley is saving $10 each week and her brother is spending $15 each week. After how many weeks will their savings account have the same amount of money in them

Answers

Answer:

It will be 3 weeks until their savings account has the same amount of money in them.






Step-by-step explanation:

Have a great rest of your day
#TheWizzer

40 Points! If AD is a diameter and m∠C = 112°, what is the measure of ∠A?

Answers

Both are supplementary

<A+<C=180112+<A=180<A=180-112<A=68

Help mee plsssssssss

Answers

Answer:

-3

Step-by-step explanation:

you can tell because 12-3=9 and 9 is the output. it's the same for the others. 15-3=12 and 20-3=17

SOMEONE PLSSSSSS HELP ME SOLVE THIS FAST
I WILL MARK BRAINLIEST

Answers

Answer:

D

Step-by-step explanation:

I calculated the area for 54 feet and then for 0.5 feet using the equation [tex]A=\sqrt{\frac{3}{4} }a^{2}[/tex] , where a is the size and then divided first area by second area

In a parallelogram ABCD, angle a=70, find 2angle d​

Answers

Answer:

D = 110

Step-by-step explanation:

Given,

In a parallelogram ABCD,

∠A =70∘

∠A + ∠B = 180∘.. (supplementary angles)

∠B = 180∘ – 70∘ = 110∘

∠A = ∠C and ∠B = ∠D.. (Opposite angles of parallelogram)

∠A = 70∘, ∠B = 110∘, ∠C = 70∘, ∠D = 110

the answer is gon b 110

Simplify the given expressions below.
I) 4x + 8 - 2x + 7


2) 2n ×5 ×2a


3) 6a power 5 over 3a power 2 ×2a
please work it out and clear​

Answers

Step-by-step explanation:

1) [tex] \Rightarrow \: \sf \: 4x + 8 - 2x + 7[/tex]

Combine like terms

[tex] \rightarrow \: \sf \: ( 4x - \textcolor{green}{2}x) + (7 + \textcolor{green}{8})[/tex]

Add 4x and 2x , 7 + 8

[tex] \rightarrow \sf \: 2x + 15[/tex]

~Done~

2) [tex] \Rightarrow \sf 2n ×5 ×2a[/tex]

[tex] \rightarrow \sf \:( 2n) (5) (2a)[/tex]

[tex] \rightarrow \sf \: 20an[/tex]

~Done~

Write a money problem you can solve using sharing, joining, or separating

Answers

Answer:

Jonny have 100 dollars and he gave his 2 friend's $20 how much does he have left?

Step-by-step explanation:

100-40=60

Jonny has 60 dollars left

Find the area. 9 cm 3 cm 12 cm 15_cm 3 cm​

Answers

Answer:

What shape is the object in question?

Which number is a common multiple of 2 and 4?
A) 14
B) 24
C) 26
D) 34
LAST QUESTION MORE POINTS LETS TAKE IT TO 100!

Answers

Answer: B) 24

Step-by-step explanation:

      All of these are multiples of 2 since they are all even numbers, so we will look to see which is a multiple of four.

Multiples of four are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, etc.

      I bolded and underlined 24 because it is in the list of options. B) 24 is a common multiple of 2 and 4.

24 / 2 = 12

24 / 4 = 6

The pentagonal prism below has a height of 7.2 units and a volume of 309.6 units,
Find the area of one of its bases.

Answers

Answer:

Step-by-step explanation:

Volume of pentagonal prism = 309.6 cubic units

h = 7.2 units

[tex]\boxed{\text{Area of one of the base= $\dfrac{Volume}{h}$}}[/tex]

                                    [tex]\sf=\dfrac{309.6}{7.2}\\\\= 43 \ square \ units[/tex]

How do I solve for y?

Answers

Answer:

Step-by-step explanation:

The angle containing y and 63 are vertically opposite. They are equal.

y + 23 = 63                   Subtract 23 from both sides

y +23-23 = 63 - 23

Answer y = 40

Put the expressions in order from least to greatest.

Answers

Answer:

[tex]\frac{11^{4} }{11^{11} } ,\frac{1}{11^{-4} }, 11^{5}*11^{2}, (11^{-3})^{-3}[/tex]

Step-by-step explanation:

For this, you need to know the rules of exponents:

If the coefficient is the same, you can do things to it (which I will get into)

In this case, all the coefficients are 11, so we don't have to worry about the coefficients being different.

For the first one, you can subtract the denominator exponent by the numerator exponent like so:

[tex]11^{4} * 11^{-11} = 11^{-7}\\[/tex]

(When you multiply, you add the exponents)

Also, the rule is: [tex]x^{-y} = \frac{1}{x^{y} }[/tex] or [tex]\frac{1}{x^{-y} } = x^{y}[/tex]

For the second one, you can use the rule mentioned before:

[tex]\frac{1}{11^{-4} } = 11^{4}[/tex]

For the third one, you want to multiply the exponents (in these kinds of cases, you can multiply the exponent by the exponent)

So:

[tex](11^{-3} )^{-3} = 11^{9}[/tex]

Finally, the fourth one, you can simply just add the exponents:

[tex]11^{5} * 11^{2} = 11^{7}[/tex]

Then, just order them from least to greatest by their exponents value :)

Suppose we want to choose 6 letters, without replacement, from 10 distinct letters.

Answers

Answer:

Step-by-step explanation:

If order matters (much like forming... a 4 digit number-maybe for a safe?), you will be computing "permutations".  The  formula for "r" items chosen from  "n" items, where order matters is   Npermutations = nPr  =  n!/ (n-r)!

Npermutations = 10P6 =  10!/(10-6)= 10*9*8*7*6*5 = 151200

When order doesn't matter (such as in dealing a poker hand, its the cards you end up with that matter not the order in which they are dealt into your hand) you will be computing combinations.   The formula for the number of combinations of  "r "items from "n" choices is  Ncombinations =  nCr = n!/((n-r)!r!)

Ncombinations = 10C6 =  10!/((10-6)!6!) =  (10*9*8*7)/(4*3*2*1) = 210

Notice how there are far fewer combinations than permutations.  This makes sense because if you think about how 6 colors  {red, blue, green, white, black, yellow} can be arranged, there are 6!=720 ways to arrange these 6 colors if order matters.  If order doesn't matter, this set of 6 colors counts only once.
Same thing with numbers :)

Hope this helped, brainliest is always appreciated! :)

Have a nice day CX
~Mitsuna

4x + y = 4
2x + 6y = 24

Which action creates an equivalent system that will eliminate one variable when they are combined?

Answers

Answer:

(There's actually a few ways of solving this, but here's one)

Multiplying the second equation by 2.

EDIT: Because the question says it will eliminate a variable "when combined", implying adding the systems together. The actual correct answer is multiplying the second equation by -2.

(multiplying the second equation by -2 is the actual answer, my apologies)

Step-by-step explanation:

So it's clear that they are referring to the elimination method and not the substitution method for solving systems of equations.

In the elimination method, you subtract 2 equations in the hopes of the elimination of a variable.

If you multiply the second equation, 2x + 6y = 24, by 2, you get, 4x + 12y = 48.

This is helpful because when you subtract this from the first one, you eliminate x.

4x + y = 4

-(4x + 12y = 48)

is

-11y = -44

A jar contains 416 coins.1/4 of the coins are £1 coins.
280 of the coins are 20p coins.
The rest of the coins are 10p coins.
Work out the total value of the 416 coins.

Answers

Answer:

it's I think 250

Step-by-step explanation:

it's 250 from me...

Help I’ll give info help text me on ig 7mile.jr

Answers

Lol
U don’t learn
U see how u are suffering

can someone please help me

Answers

The answer should be C, -1.6, as the lines are done by 2 and the dot you're being asked about is right on the line.

Answer:

1.6

Step-by-step explanation:

There are 5 points from -1 to -2 if you count by 0.2 then you get 0.6 put that with the numbers on the line and you get 1.6

f(x) = x^2-3
What is the average rate of change on the interval [-5, 2] ?

Answers

Answer:

[tex](-3)[/tex].

Step-by-step explanation:

Over this interval, the change in the value of this function is:

[tex]f(-5) - f(2) = 22 - 1 = 21[/tex].

The corresponding change in the value of [tex]x[/tex]:

[tex](-5) - 2 = -7[/tex].

The average rate of change of function [tex]f[/tex] over this interval is equal to the change in the function value divided by the corresponding change in [tex]x[/tex]:

[tex]\begin{aligned}& (\text{average rate of change}) \\ =\; & \frac{(\text{change in function value})}{(\text{change in $x$})} \\ =\; & \frac{f(-5) - f(2)}{(-5) - 2} \\ =\; & \frac{22 - 1}{-7} \\ =\; & \frac{21}{-7} \\ =\; & -3\end{aligned}[/tex].

Thus, the average rate of change of [tex]f(x) = x^{2} - 3[/tex] over the interval [tex][-5,\, 2][/tex] would be [tex](-3)[/tex].

| negative 9 | + | 12 | = what
a. negative 3
b. 3
c.negative 21
d.21
pleaz help might make brainliest

Answers

Answer:

21 (but see note)

Step-by-step explanation:

I am thinking you are showing the symbols for absolute values ( the vertical  lines) so the absolute value of negative 9 is 9 and absolute value of positive 12 is 12 so it's just 9+12

solve for X 3.5x/9= 4.2/5 Please help me

Answers

Answer:

x=2.16

Step-by-step explanation:

1. Cross multiply.  3.5x(5) = 9(4.2)

2. Simplify. 17.5x=37.8

3. Divide both sides by 17.5. x=2.16

Let x and b be positive real numbers so that log_b(x^2) = 10. Find log_3sqrtb (1/x)

Answers

The value of the logarithm log₃ (x⁻¹)[tex]^{1/b}[/tex]  where x and b positive real numbers is - 5 · b⁻¹ · log₃ b.

How to analyze and solve logarithmic expressions

Logarithms are trascendental functions, that is, functions that cannot be described algebraically.

In this question we must apply logarithm and algebraic properties to determine firstly the value of [tex]x[/tex] and later to find value of the latter logarithm. Now we proceed to find the value of [tex]x[/tex]:

[tex]\log_{b} x^{2} = 10[/tex]

[tex]2\cdot \log_{b} x = 10[/tex]

[tex]\log_{b} x = 5[/tex]

x = b⁵

Then, the value of the latter logarithm is:

log₃ (x⁻¹)[tex]^{1/b}[/tex]  

- b⁻¹ · log₃ x

- b⁻¹ · log₃ b⁵

- 5 · b⁻¹ · log₃ b

The value of the logarithm log₃ (x⁻¹)[tex]^{1/b}[/tex]  where x and b positive real numbers is - 5 · b⁻¹ · log₃ b. [tex]\blacksquare[/tex]

Remark

The statement is poorly formated, correct form is described below:

Let [tex]x[/tex] and [tex]b[/tex] be positive real numbers so that [tex]\log_{b} x^{2} = 10[/tex]. Find [tex]\log_{3} \sqrt [b]{\frac{1}{x} }[/tex].

To learn more on logarithms, we kindly invite to check this verified question: https://brainly.com/question/3181916

evaluate f ( - 5 ) =

Answers

Answer: −5

Step-by-step explanation:

simplify: (−5)

Re-order terms so constants are on the left:

(−5)f(−5)−5

help please thank you

Answers

Answer:

hmm i think its

1/2(x + y)

Step-by-step explanation:

because well... this would be eaiser for me if it said "of the" because "of the" is mostly used for multiply, but since it just said "the..." i can only guess. I think this may be the answer tho?

The equation would be 1/2(x + y).
Due to x and y being the quantity you would simply take one half of that as a whole.

(3/5)^2 + 4 x 3 - 2




Please help :)

Answers

Answer:

[tex]10 \frac{9}{25} [/tex]

Step-by-step explanation:

[tex] \bigg( \frac{3}{5} \bigg)^{2} + 4 \times 3 - 2 \\ \\ = \frac{9}{25} + 12 - 2 \\ \\ = \frac{9}{25} + 10 \\ \\ = \frac{9 + 10 \times 25}{25} \\ \\ = \frac{9 + 250}{25} \\ \\ = \frac{259}{25} \\ \\ = 10 \frac{9}{25} [/tex]

there are 45 marbles in a blue jar. the blue jar has 9 times as many marbles as a red jar. let m be the number of marbles in the red jar.
Write an equation that relates the number of marbles in the two jars. Use 9, m, and 45​

Answers

Answer:

9m = 45

Step-by-step explanation:

if the blue jar has 9 times as many marbles as the red jar (which is 45 marbles), then that means that:

9m = 45

where m is the number of marbles in the red jar.

Choose the correct graph of the function y=2√x.

Answers

Answer:

[D]

Step-by-step explanation:

Graph using the end point and a few selected points.

x          y

0          0

1          2

2     2.83

Graph also below:

[RevyBreeze]

A rectangle has a length of (x + 4) feet and a width of (x + 7) feet. The expression
2(x+)+2(x + 7) represents the perimeter of the rectangle.
Which expression also represents the perimeter of the rectangle, in feet?
A (x + 4) + (x + 4) + (x + 7) + (x + 7) W
B (x + 4)(x + 4)(x + 7)(x + 7)
C 4x + 11
D 22x

Answers

Answer:

A

Step-by-step explanation:

No need. It’s simple.

B can’t be it because it uses multiplication.

C can’t be it because it makes no sense.

D also makes no sense.

What is 45% of 69/3???

Answers

Answer:

10.35

Step-by-step explanation:

69/3 = 23

45% of 23 = 10.35

Answer:

10.35

Step-by-step explanation:

69/3 = 23

45% of 23 = 10.35

Why are you deleting my answers??

Find the area
Can someone pls help me?

Answers

If I’m correct the area is 48
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