The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height. For the cylinder in the question, the volume is V = π(1 cm)²(21 cm) = 21π cm³.

The volume of a cone is given by the formula V = 1/3πr²h, where r is the radius and h is the height. We know that the volume of the cone is the same as the volume of the cylinder, so we can set up the equation 21π cm³ = 1/3πr²(7 cm).

Solving for r, we get r² = (21π cm³ * 3) / (π * 7 cm) = 9 cm². Taking the square root of both sides, we find that r = 3 cm.

So, the radius of the cone is 3 cm. The answer is A, 3 cm.

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The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height. For the cylinder in the question, the volume is V = π(1 cm)²(21 cm) = 21π cm³.

The volume of a cone is given by the formula V = 1/3πr²h, where r is the radius and h is the height. We know that the volume of the cone is the same as the volume of the cylinder, so we can set up the equation 21π cm³ = 1/3πr²(7 cm).

Solving for r, we get r² = (21π cm³ * 3) / (π * 7 cm) = 9 cm². Taking the square root of both sides, we find that r = 3 cm.

So, the radius of the cone is 3 cm. The answer is A, 3 cm.

Knowee AI · Accepted Answer

The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height. For the cylinder in the question, the volume is V = π(1 cm)²(21 cm) = 21π cm³.

The volume of a cone is given by the formula V = 1/3πr²h, where r is the radius and h is the height. We know that the volume of the cone is the same as the volume of the cylinder, so we can set up the equation 21π cm³ = 1/3πr²(7 cm).

Solving for r, we get r² = (21π cm³ * 3) / (π * 7 cm) = 9 cm². Taking the square root of both sides, we find that r = 3 cm.

So, the radius of the cone is 3 cm. The answer is A, 3 cm.

A cylinder with a radius of 1 cm and a height of 21 cm has the same volume as a cone with a height of 7 cm. What is the radius of the cone?ResponsesA 3 cm3 cmB 5 cm5 cmC 7 cm7 cmD 9 cm

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