Question

A toy ball expands and contracts when it is completely closed it has a diameter of 9.5 inches find the volume of the spear when it is completely closed do use 3.14 then round to the nearest whole cubic inch

Answer 1

449 cubic inches

Explanation:

The diameter of the ball when closed is 9.5 inches. This will also be the diameter of the ball when it is expanded.

Use the formula for finding the volume of a sphere

`V = (4)/(3)\pi r^3`

where V is the volume and r the radius

r = diameter/2 = 9.5/2 = 4.75

`V = (4)/(3)\cdot\pi\cdot 4.75^3`

Using value of
`\pi = 3.14`,

`V = (4)/(3)\cdot\ 3.14\cdot 4.75^3`

`V = (4)/(3)\cdot\ (3.14)\cdot (107.171)`
`\approx\;448.69`
`= 449` (rounded to nearest cubic in)