Question

Find the volume of the cylinder with a radius of 9inches and a height of 21inches

and please show the work it took to get it T^T qwq

Answer 1

To calculate the volume of a cylinder, multiply the area of the base (A = π * r²) by the height (h). For a cylinder with a radius of 9 inches and a height of 21 inches, the volume is approximately 5346.5 cubic inches.

Step-by-step explanation:

Volume of a Cylinder Calculator

To find the volume of a cylinder with a radius of 9 inches and a height of 21 inches, we use the formula V = πr²h. First, calculate the area of the cylinder's base (which is a circle) using the radius (r), and then multiply that area by the height (h) of the cylinder. The area A of a circle is π times the square of the radius, so A = π * r². In this case, A = π * (9 inches)².

Now, let's do the calculation:

1. Calculate the base area: A = π * (9 inches)² = 81π square inches.
2. Multiply the base area by the height: V = A * h = 81π inches² * 21 inches.
3. Therefore, the volume V is 1701π cubic inches.

To get a numerical value for the volume, we use the approximation π ≈ 3.1416:

V ≈ 1701 * 3.1416 cubic inches

Thus, the approximate volume is 5346.5 cubic inches.