Mathematics College

What’s the volume of the cone in terms of pi?

Answers

Answer 1

Answer:

83 [tex]\frac{8}{10}[/tex] π cm3

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] π ([tex]4^{2}[/tex])(5) = 83.7758040957

Related Questions

Two integers c and d have a product of -6 what is the greatest possible sum?

Answers

The greatest possible sum for the two integers ( c and d) is 1.

Number Classification

Whole Numbers - They are the numbers represented by positive real numbers where the fractions and decimal numbers are not included.

Integer Numbers - They are the whole numbers. They are represented by zero, positive and negative numbers.

Opposite numbers - They are numbers that the distance to 0 is equal. The numbers are classified as the opposite when the sum between them is equal to zero (0).

The question gives:

c and d ar integers;c*d = -6

The possible values for c and d for a product equals -6 are:

option 1 c= -2 and d= 3option 2 c= -3 and d= 2option 3 c= 2 and d= -3option 4 c= 3 and d= -2

Now you should sum the possible values of c and d for each option.

option 1 c= -2 and d= 3 -> -2+3 = 1option 2 c= -3 and d= 2-> -3+2 = - 1option 3 c= 2 and d= -3-> 2-3 = -1option 4 c= 3 and d= -2-> 3-2 = 1

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a salad dressing recipe calls for 3/4 cup of olive oil for every 1/2 cup of vinegar how many cups of vinegar are needed for 2 cups of olive oil

Answers

The cups of vinegar needed will be 1 1/3 cups.

How to calculate the value?

From the information, the salad dressing recipe calls for 3/4 cup of olive oil for every 1/2 cup of vinegar.

Let the.cuos needed for the.olive.oio be represented by x.

Therefore, this will be:

1/2 / 3/4 = x/2

Cross multiply

0.75 × x = 2 × 1/2

0.75x = 1

x = 1/0.75

x = 1 1/3

Therefore the cups of vinegar needed will be 1 1/3 cups.

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select two points that lie on the same line throught (0,0), then select an equation that describes the relationship between the coordinates x and y

Answers

Two collinear points on a line are given in the table below:

x, y

0 0 (0,0)

2 1 (2,1)

Select the points that lie on the line. and the relationship between the coordinates x and y.

(4,2)

(4, 3)

(7,2)

4/8, 2/8

Answer:

(4,2) and ([tex]\frac{4}{8}[/tex],[tex]\frac{2}{8}[/tex]) are lie on the line, and y = [tex]\frac{1}{2}[/tex] x , is showing the relationship of x and y coordinates of given line.

Given that

The co-ordinates of line is (0,0) and (2,1).

To find

The points that lie on the line, and The relationship between the coordinates x and y.

So, according to the question

We have,

The X and Y co-ordinates of line (0,0) and (2,1).

For finding any point that lie on line, first we have to find the slope of given line,

So, we know that

slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Where,

x₁ = 0 and x₂ = 2

y₁ = 0 and y₂ = 1

Now, putting the values, we will get

(m) = [tex]\frac{1-0}{2-0}[/tex] = [tex]\frac{1}{2}[/tex]

m = [tex]\frac{1}{2}[/tex]

We know that, the equation of line

y-y₁ = m(x- x₁ )

y-0 = [tex]\frac{1}{2}[/tex] (x- 0)