The volume of a cone is given by the formula V = 1/3πr²h, where r is the radius and h is the height. For the cone in the question, the volume is 1/3π(12 cm)²(12 cm) = 576π cm³.

The volume of a cylinder is given by the formula V = πr²h. If the volume of the cylinder is the same as the volume of the cone, then we can set the two equal to each other and solve for the height of the cylinder.

So, 576π cm³ = π(8 cm)²h. Simplifying this gives 576 cm³ = 64 cm²h. Dividing both sides by 64 cm² gives h = 9 cm.

Therefore, the height of the cylinder is 9 cm, so the answer is C.

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The volume of a cone is given by the formula V = 1/3πr²h, where r is the radius and h is the height. For the cone in the question, the volume is 1/3π(12 cm)²(12 cm) = 576π cm³.

The volume of a cylinder is given by the formula V = πr²h. If the volume of the cylinder is the same as the volume of the cone, then we can set the two equal to each other and solve for the height of the cylinder.

So, 576π cm³ = π(8 cm)²h. Simplifying this gives 576 cm³ = 64 cm²h. Dividing both sides by 64 cm² gives h = 9 cm.

Therefore, the height of the cylinder is 9 cm, so the answer is C.

Knowee AI · Accepted Answer

The volume of a cone is given by the formula V = 1/3πr²h, where r is the radius and h is the height. For the cone in the question, the volume is 1/3π(12 cm)²(12 cm) = 576π cm³.

The volume of a cylinder is given by the formula V = πr²h. If the volume of the cylinder is the same as the volume of the cone, then we can set the two equal to each other and solve for the height of the cylinder.

So, 576π cm³ = π(8 cm)²h. Simplifying this gives 576 cm³ = 64 cm²h. Dividing both sides by 64 cm² gives h = 9 cm.

Therefore, the height of the cylinder is 9 cm, so the answer is C.

A cone with a radius of 12 cm and a height of 12 cm has the same volume as a cylinder with a radius of 8 cm. What is the height of the cylinder?ResponsesA 3 cm3 cmB 6 cm6 cmC 9 cm9 cmD 12 cm

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