Question

The diameter of an official squash ball ranges from 39.5 mm to 40.5 mm. What is the difference in volume between the larger and smaller official squash ball?

Answer 1

Answer:

2513.41 mm³

Step-by-step explanation:

Given that,

The diameter of ball 1 = 39.5 mm

Radius of ball 1 = 19.75 mm

The volume of ball 1 is :

$V_1=\dfrac{4}{3}\pi r^3\\\\=\dfrac{4}{3}\pi \times 19.75^3\\\\=32269.32\ mm^3$

The diameter of ball 2, = 40.5 mm

Radius = 20.25 mm

Volume of ball 2,

$V_2=\dfrac{4}{3}\pi \times 20.25^3\\\\=34782.73\ mm^3$

Difference in volume = V₂ - V₁

= 34782.73 - 32269.32

= 2513.41 mm³

So, the difference in volume of the ball is equal to 2513.41 mm³.