Question

A hollow ball is made of rubber that is 1 centimeter thick. The ball has a radius of 5 centimeters at the outside surface.

What is the approximate volume of rubber used to make the ball?

Use 3.14 for pi.


A: 255.4 cm³
B: 267.9 cm³
C: 523.3 cm³
D: 2043.1 cm³

Answer 1

the answer is
a:255.4cm^3

Answer 2

Answer: A.
`255.4\ cm^3`

Explanation:

Given: The outer radius of the ball (R)= 5 centimeters

The inner radius of the ball (r)= Outer radius - thickness

`=5-1=4\text{ centimeters}`

Now, the volume of the hollow ball is given by :-

`V=(4)/(3)\pi R^3-(4)/(3)\pi r^3\\\\\Rightarrow V=(4)/(3)\pi (R^3-r^3)\\\\\Rightarrow V=(4)/(3)(3.14)(5^3-4^3)\\\\\Rightarrow V=(4)/(3)(3.14)(61)\\\\\Rightarrow V=255.386666667\approx255.4\ cm^3`

Hence, the approximate volume of rubber used to make the ball=
`255.4\ cm^3`