Question

A right circular cylinder has a height of 2214 ft and a diameter 225 times its height. What is the volume of the cylinder? Enter your answer as a decimal in the box. Use 3. 14 for pi and round only your final answer to the nearest hundredth. Ft³.

Answer 1

The volume of the cylinder depends on its radius and height. The volume of the cylinder is 49806.05 ft3.

What is the volume of the cylinder?

The volume of the cylinder is defined as the three-dimensional space occupied by a cylinder.

Given that the height h of the cylinder is 22 1/4 ft. The diameter d of the cylinder is 2 2/5 times its height.

h = 22 1\4 ft = 89/4 ft

The diameter of the cylinder is calculated as given below.

$d = \dfrac {12}{5} \times h$

$d = \dfrac {12}{5} \times \dfrac {89}{4}$

$d = 53.4 \;\rm ft$

The radius of the cylinder is given below.

$r = \dfrac {d}{2}$

$r = \dfrac { 53.4}{2}$

$r = 26.7 \;\rm ft$

The volume of the cylinder is calculated as given below.

$V = \pi r^2 h$

$V = 3.14 \times (26.7)^2 \times \dfrac {89}{4}$

$V = 49806.05 \;\rm ft^3$

Hence we can conclude that the volume of the cylinder is 49806.05 ft3.

To know more about the volume of the cylinder, follow the link given below.

brainly.com/question/12748872.