Question

The volume of the oblique cylinder is 24 ft3.

An oblique cylinder has a volume of 24 feet cubed. The height of the cylinder is 3.4 feet.

Which statements are true? Check all that apply.

The height of the cylinder is 3.4 ft.
The diameter of the cylinder is about 4.5 ft.
The diameter of the cylinder is about 3 ft.
The radius of the cylinder is about 6 ft.
A right cylinder with the same height and radius as this oblique cylinder would also have a volume of 24 ft3.

Answer 1

True:
- The height of the cylinder is 3.4 ft. (given)
- The diameter of the cylinder is about 3 ft.
- A right cylinder with the same height and radius as this oblique cylinder would also have a volume of 24 ft^3.

False:
- The diameter of the cylinder is about 4.5 ft. (no)
- The radius of the cylinder is about 6 ft. (no)

Work: r = sqrt(V/(πh)) = sqrt(24/(π·3.4)) ≈ sqrt(2.247) ≈ 1.50 ft, so diameter ≈ 3.00 ft. Volume of an oblique cylinder = base area × height, same as for a right cylinder with the same base and height.