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:

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

b. would be the answer : )

step-by-step explanation:

step 1: add -16x to both sides.

16x−4y+−16x=64+−16x  

−4y=−16x+64

step 2: divide both sides by -4.

−4y /-4 = -16x + 64/-4

answer:   y=4x−16

hope i'm right