# 10.7.1 Volume Formulas

You can also use a formula to work out the volume of some of the more common solids. These are shown in the boxes below.

## Volume Formulas

### Volume of a rectangular box:

### Volume of a cylinder:

### Volume of a prism:

### Volume of a sphere:

## Activity: A Gasoline Tanker

(a) The container on a gasoline tanker is approximately cylindrical with an internal diameter of about 2.25 m and an internal length of 10 m. Roughly how many liters of gasoline could it contain?

### Comment

Remember that .

### Answer

(a) If the diameter is 2.25 m, the radius = . The length is 10 m.

Substituting these values into the formula for the volume of a cylinder:

Rounding to the nearest cubic meter, the volume is .

Since there are 1,000 liters in , if the tanker is full, it will hold approximately 40,000 liters.

(b) The gasoline depot has an underground tank that measures 2.5 m by 4 m by 3 m. If the tank is empty, will it hold all the gasoline in the tanker?

### Answer

The volume of a box . So the volume of the underground tank . This is the same as 30,000 liters and, since this is smaller than the capacity of the tanker, not all the gasoline from the tanker would fit in the storage tank.

10.7 Volumes