Question

Ex. 3 A farmer has 3 cylindrical containers to hold feed. Each container has radius 91 cm and height 122 cm. What is the total volume of the three containers?

Answer 1

`9521683.53 cm^3`

Explanation:

Each of the 3 cylindrical containers have radius 91 cm and height 122 cm.

Since, their radii and heights are the same, their volumes will also be the same.

The total volume will be the sum of their three volumes.

The volume of a cylinder is given as:

`V = \pi r^2h`

where r = radius = 91 cm

h = height = 122 cm

Therefore, the volume will be:

`V = \pi * 91^2 * 122\\\\V = 3173894.51 cm^3`

The volume of each of the three cylinders is
`3173894.51 cm^3`

Therefore, their total volume will be:

`V_T = 3173894.51 + 3173894.51 + 3173894.51\\\\V_T = 9521683.53 cm^3`

The total volume of the three containers is
`9521683.53 cm^3`