The volume of a cylinder cone and sphere are shown below. the three figures have the same radius. the cylinder and the cone have the same height with h = r.

if the volume of the cone is 36 cubic units, what are the volumes of the cylinder and sphere? explain your answer.

answers: cylinder: units
sphere: units

Part 1) The volume of the cylinder is

part 2) The volume of the sphere is

Step-by-step explanation:

step 1

Find the radius of the cone

we know that

the volume of the cone is equal to

we have

substitute and solve for r

------> equation A

step 2

Find the volume of the cylinder

we know that

the volume of the cylinder is equal to

we have

substitute

substitute the equation A in the formula above

----> equation A

step 3

Find the volume of the sphere

we know that

The volume of the sphere is equal to

substitute the equation A in the formula above

----> equation A

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step-by-step explanation:

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