Question

Find the area. The figure is not drawn to scale.

Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.

Answer 1

`(a)\ Area = 28.12cm^2`

`(b)\ Volume = 1437.33cm^3`

Explanation:

Solving (a): The parallelogram

`h = 7.6` --- height

`b = 3.7` --- base

The area is calculated usng:

`Area = base * Height`

`Area = 3.7 * 7.6`

`Area = 28.12cm^2`

Solving (b): The sphere

`d = 14cm`

Required

The volume

First, calculate the radius

`r = d/2`

`r = 14cm/2 = 7c,`

The volume is calculated using:

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

This gives:

`Volume = (4)/(3) * (22)/(7) * 7^3`

`Volume = (4)/(3) * 22 * 7^2`

`Volume = (4)/(3) * 1078`

`Volume = (4*1078)/(3)`

`Volume = (4312)/(3)`

`Volume = 1437.33`