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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

2 Answers

1 vote
the answer is
a:255.4cm^3
User Bethany Nicholson
by
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4 votes

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

User CKE
by
8.1k points