Question

The cone and cylinder above have the same radius, r, and height, h. The volume of the cone is 69 cubic centimeters. What is the volume of the cylinder?

A. 138 cubic centimeters
B. 207 cubic centimeters
C. 23 cubic centimeters
D. 276 cubic centimeters

Answer 1

207 cubic centimeters

Explanation:

Given

volume of cone = 9 cubic centimeters

Since the cone and cylinder above have the same radius, r, and height, h, then r = h

volume of the cone = 1/3πr²h

69 = 1/3πr²h

πr²h = 69*3

πr²h = 207cubic cm

Since the volume of the cylinder = πr²h

Hence volume of the cylinder is 207 cubic centimeters