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 in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.

Answer 1

Volume is 431288166770775 cubic feet.

Explanation:

The height of the cylinder = 2214 ft

Let d be the diameter . Hence, we have

d = 225 × 2214 = 498150 ft

Hence, the radius should be half of diameter.

`r=(d)/(2)\\\\r=(498150)/(2)\\\\r=249075ft`

The volume of cylinder is given by

`V=\pi r^2h\\\\V=3.14(249075)^2(2214)\\\\V=431288166770775ft^3`

Answer 2

Volume of the cylinder = 49806.06 ft^2

Explanation:

I think the problem was mistyped. The actual height is 22 1/4 ft and the actual diameter is 2 2/5 times its height. Therefore, the diameter is 2.4*22.25 = 53.4 ft

Volume of the cylinder = π*(D^2)/4*h

where D is the diameter of the cylinder and h its height. Replacing with the values:

V = 3.14*(53.4^2)/4*22.25

V = 49806.06 ft^2