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.

Answer 1

Answer: To find the volume of the right circular cylinder, we can use the formula:

Volume = π * r^2 * h

Given that the height of the cylinder is 2214 ft and the diameter is 225 times its height, we can calculate the radius first.

The diameter of the cylinder is 225 times its height:

Diameter = 225 * Height = 225 * 2214 ft = 498150 ft

The radius is half of the diameter:

Radius = Diameter / 2 = 498150 ft / 2 = 249075 ft

Now we can substitute the values into the volume formula:

Volume = 3.14 * (249075 ft)^2 * 2214 ft

Calculating the volume:

Volume ≈ 3.14 * (62102225625 ft^2) * 2214 ft

Volume ≈ 4.88601e14 ft^3

Rounding to the nearest hundredth:

Volume ≈ 4.89e14 ft^3

Therefore, the volume of the cylinder is approximately 4.89 * 10^14 cubic feet.