A cylinder and a cone have the same radius and height. The volume of the cylinder is 639 ft ^3. what is the volume of the cone?

Question

3 years ago

14

A. 213 ft^3 B. 319.5 ft^3 C. 639 ft^3 D. 106.5 ft^3

1 answer:

AURORKA [14] · Answer 1 · 2022-12-01T09:35:45+03:00

The volume of the cone is: A. 213 ft³.

<h3>Volume of a Cylinder and a Cone</h3>

Given:

radius and height of both the cylinder and the cone are equal.

Volume of Cylinder = 639 ft³

Therefore:

πr²h = ⅓πr²h

This means that volume of cone would be ⅓ of the volume of the cylinder.

Volume of cone = ⅓(639) = 213 ft³

Therefore, the volume of the cone is: A. 213 ft³.

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