A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder =

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

Using the volume formula of a cylinder

The formula goes thus

Substitute 21 for V; this gives

Divide both sides by h

The next step is to solve for the volume of the sphere using the following formula;

Divide both sides by r

Expand Expression

Substitute

Multiply both sided by r

------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

, where D represents diameter of the sphere

Recall that

So,

Substitute 2r for h in equation 1

Hence, the volume of the sphere is 14m³

Step-by-step explanation:

We have:

i can you answer this question sweetie!

step-by-step explanation:

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)