Question

There are many cylinders with a

Answer 1

Answer:

When $Radius = 1$

$Volume = 9\pi$ or $Volume = 28 in^3$

When $Radius = 2$

$Volume = 36\pi$  or $Volume = 113 in^3$

When $Radius = 3$

$Volume = 81\pi$ or $Volume = 254 in^3$

Step-by-step explanation:

Given

Solid Shape: Cylinder

Height = 9 inches

Radius = 1 inch; 2 inches; 3 inches

Required

Volume of each cylinder

The Volume of a cylinder is calculated as thus;

$Volume = \pi r^2h$

Where r and h represent the radius and the height of the cylinder;

Given that height, h = 9 inches

Taking π as 3.14

For a cylinder of radius = 1 inch;

The volume is as follows;

$Volume = \pi * 1^2 * 9$

$Volume = \pi * 1 * 9$

$Volume = 9\pi$

$Volume = 9 * 3.14$

$Volume = 28.26$

$Volume = 28 in^3$ (Approximated)

For a cylinder of radius = 2 inches;

The volume is as follows;

$Volume = \pi * 2^2 * 9$

$Volume = \pi * 4 * 9$

$Volume = 36\pi$

$Volume = 36 * 3.14$

$Volume = 113.04$

$Volume = 113 in^3$ (Approximated)

For a cylinder of radius = 3 inches;

The volume is as follows;

$Volume = \pi * 3^2 * 9$

$Volume = \pi * 9 * 9$

$Volume = 81\pi$

$Volume = 81 * 3.14$

$Volume = 254.34$

$Volume = 254 in^3$ (Approximated)