A sphere and a cylinder have the same radius and height. The volume of the cylinder is 18 cm
What is the volume of the sphere?
O 12 cm
O 24 cm
O 36 cm
54 cm

We have been given that a sphere and a cylinder have the same radius and height.

We know that height of sphere is equal to its radius. So .

Now we will use volume of sphere and volume of cylinder formula to solve our given problem.

Volume of cylinder: , where,

r = Radius,

h = Height

Volume of sphere: , where,

r = Radius.

Since height is equal to radius, so we will get:

Since volume of cylinder is cubic cm, so we will equate volume formula with as:

Let us solve for r.

Upon substituting this value in volume of sphere formula, we will get:

Therefore, the volume of the sphere would be 24 cubic cm and option B is the correct choice.

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step-by-step explanation:

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