Question

The formula for the volume V of a cylinder is V=πr²h, where r is the radius of the base and hh is the height of the cylinder. Select the formula for h. Then, based on the selected formula, determine the height of a cylinder with a volume of 36πcm³ and a base with a radius of 3cm.

A. h=8cm

B. h=4cm

C. h=1cm

D. h=V−πr²

E. h= V/πr²

F. h= πr²/ V
select the appropriate formula for hh and then determine the height of the given cylinder using the provided options."

Answer 1

The height of the given cylinder is 4cm. Option (B) is correct.

Step-by-step explanation:

The curved surface of a cylinder is also known as its lateral surface. The area of this lateral surface is referred to as the lateral surface area of the cylinder. We can calculate the lateral surface area of a cylinder by multiplying the circumference of its circular base by its height.

Use the formula: V = pi * r^2 * h to get the volume of the cylinder. Change value to cubic inches. Using the formula: 1 liter = 61.03 cubic inches, calculate your answer.

The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height of the cylinder. In this case, we have a volume V of 36πcm³ and a base radius of 3cm. To determine the height h, we can rearrange the formula to solve for h:

36π = π(3cm)²h

Cancel out the π:

36 = 9h

Divide both sides by 9:

h = 4cm