Question

The height of one right circular cylinder is 6 centimeters and its radius is 3 centimeters. The height of a second right circular cylinder is 18 centimeters and its radius is 3 centimeters. The volume of the second cylinder is how many times as large as the volume of the first cylinder?

Answer 1

The height of one right circular cylinder is 6 centimeters and its radius is 3 centimeters. the volume of the second cylinder is mathematically given as

v2=3*v1

The volume of the second cylinder is how many times as large as the volume of the first cylinder?

Generally, the equation for the volume is mathematically given as

$V=\pi r^2 h\\\\\\\Therefore\\\\\\V1=\pi (3)^2* 6\\\\V1=54\pi$

and

$V2=\pi (3)^2* 18\\\\V2=162\pi$

In conclusion,

$v2/v1= 162\pi/ 54\pi$

v2/v1=3

v2=3*v1

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