Question

A reservoir in the shape of a right cylinder has a height of 84 ft am

Answer 1

Question:

A reservoir in the shape of a right circular cylinder has a height of 84ft. If it to contain 79,200 L of water, find its radius.

Answer:

$r = 3.26ft$

Step-by-step explanation:

Given

$Volume = 79200L$ ---- V

$Height = 84ft$ ---  h

Required

Determine the radius

$Volume = 79200L$

Convert volume to $ft^3$

$Volume = 79200 * 0.0353147ft^3$

$Volume = 2796.9216ft^3$

The volume (V) of a cylinder is:

$V = \pi r^2 h$

Substitute values for volume and height

$2796.9216 = \pi * r^2 * 84$

Divide both sides by 84

$33.2966857143 = \pi * r^2$

Take $\pi$ as 3.14

$33.2966857143 = 3.14 * r^2$

Divide both sides by 3.14

$10.604 = r^2$

$r^2 = 10.604$

Take the square root of both sides

$r = \sqrt{10.604$

$r = 3.26ft$

Hence, the radius is 3.26 ft