Question

A science museum has a spherical model of the earth with a diameter of 6.5 m. What is the volume of the model? Use 3.14 for and round your answer to the nearest whole number. Show your work.

Answer 1

radius = diameter/2

radius = 6.5/2 =
`(13)/(4)`m

volume
`= (4)/(3)` x
`\pi` x (radius)³

`= (4)/(3)` x
`\pi` x
`( (13)/(4))^3`

`= (4)/(3)` x
`\pi` x
`(2197)/(64)`

`= (2197)/(64)`

= 144 cubic meters