Question

A right circular cylinder has a height of ​1934​ ft and a diameter ​125​ 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.

Answer 1

Answer: 545,884,646.36 ft3.

Explanation:

The volume of the cylinder is calculated using the formula V=πr2h, where r is the radius of the cylinder and h is the height. The radius of the cylinder can be calculated by dividing the diameter (125 times the height) by 2.

Therefore, the radius = (125 * 1934) / 2 = 118,550 / 2 = 59,275 ft

Plugging in the values of radius and height into the formula, the volume of the cylinder is V = 3.14 * (59,275)2 * 1934 = 545,884,646.36 ft3

Rounding to the nearest hundredth, the volume of the cylinder is 545,884,646.36 ft3.