Question

The volume of this cylinder is 2,769.48 cube inches. What is the height?

Use 3.14 and round your answer to the nearest hundredth

Answer 1

Without knowing the radius of the cylinder, it is not possible to determine the height with just the volume information. The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height. To solve for the height, we need to know the value of both V and r.

If we have the radius of the cylinder, we can solve for the height as follows:

V = πr²h

h = V / (πr²)

For example, if the radius of the cylinder is 10 inches:

h = 2769.48 / (3.14 * 10²)

h = 8.83 inches (rounded to the nearest hundredth)

Therefore, the height of the cylinder would be approximately 8.83 inches.