## Overview

Most potted plants are in pots shaped as hemispheres or cylinders. Determining the volume of a hemisphere allows a grower to calculate the amount of soil the pot will hold. The basic calculation for volume of a hemisphere is two-thirds times pi times the radius cubed, while the formula for cylinder volume is pi times the radius squared times the height.

## Volume of a Hemisphere

### Step 1

Measure the radius of the pot. The radius of a hemisphere is from the bottom of the pot to the top of the pot. For example, a pot has a radius of 2 feet.

### Step 2

Cube the radius of the pot. In the example, 2 cubed is 2 times 2 times 2, which equals 8.

### Step 3

Multiply the radius cubed by pi. Pi equals approximately 3.14. In the example, 8 times 3.14 equals 25.12.

### Step 4

Multiply the number calculated in Step 3 by two-thirds. In the example, 2/3 times 25.12 equals approximately 16.75 cubic feet.

## Volume of a Cylinder

### Step 1

Measure across the base of the pot. For example, the pot's base is 6 inches.

### Step 2

Measure the height of the pot from top to bottom. In this example, the pot's height is 11 inches.

### Step 3

Divide the base in half to calculate the radius of the pot. In the example, 6 inches divided by 2 equals a radius of 3 inches.

### Step 4

Square the radius by multiplying the number by itself. In the example, 3 inches times 3 inches equals 9 square inches.

### Step 5

Multiply the radius squared by the height and pi to calculate volume of the pot. Estimate pi as 3.14. In the example, 9 times 11 times 3.14 equals a volume of 310.86 cubic inches.

**About this Author**

Carter McBride started writing in 2007 with CMBA's IP section. He has written for Bureau of National Affairs, Inc and eHow. He received a CALI Award for The Actual Impact of MasterCard's Initial Public Offering in 2008. McBride is a New York state attorney with a Juris Doctor from Case Western Reserve University, and a Master of Science in accounting from the University of Connecticut.