Question

The formula for the volume of a cylinder is V = 3.14r^2h.

A. Solve the formula for the height h.
B. A cylinder has a volume of 628 cubic inches and a radius of 10 inches. What is the height of the cylinder rounded to the nearest inch?

Answer 1

To solve for the height of a cylinder in the formula V = 3.14r^2h, isolate h by dividing both sides of the equation by 3.14r^2. To find the height of a cylinder with a volume of 628 cubic inches and a radius of 10 inches, substitute the values into the formula and simplify. The height of the cylinder is approximately 2 inches (rounded to the nearest inch).

Step-by-step explanation:

To solve the formula V = 3.14r^2h for the height h, we need to isolate h on one side of the equation. Here are the steps:

1. Divide both sides of the equation by 3.14r^2: h = V / (3.14r^2)

To find the height of a cylinder with a volume of 628 cubic inches and a radius of 10 inches, substitute the given values into the formula. Here are the steps:

1. Replace V with 628 and r with 10 in the formula: h = 628 / (3.14 * 10^2)
2. Simplify the equation: h = 628 / 314
3. Divide to find the height: h = 2 inches (rounded to the nearest inch)