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

Question

2 years ago

10

your answer as a decimal in the box. Use 3. 14 for pi and round only your final answer to the nearest hundredth. Ft³.

1 answer:

zheka24 [161] · Answer 1 · 2022-10-27T09:29:40+03:00

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

<h3>What is the volume of the cylinder?</h3>

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.