Question

a tennis ball has a volume of approximately 71.519 in^3. How big of an opening must the cylindrical container have for the tennis ball to fit inside?

Answer 1

The circumference of the tennis ball is 16.177 inches so the opening of the container must be equal to or greater than the circumference of the ball.

What is the volume of the sphere?

The volume of the sphere is defined as the space occupied by the sphere in the three dimensions.

In this question, we need to find out the size of the cylinder opening so

the tennis ball can fit inside the opening.

To find out this we need to calculate the circumference of the ball because if the opening of the cylinder will be equal to or greater than the circumference of the ball then the ball can easily fit inside the cylinder.

So to find out the circumference we will find the radius

$V=71.519\ inch^3$

$\dfrac{4}{3}\pi r^3=71.519$

$r=2.57\ inches$

Now the circumference of the tennis ball will be

$C=2\pi r$

$C=2\times \pi\times 2.57=16.177 \ inches$

Hence the circumference of the tennis ball is 16.177 inches so the opening of the container must be equal to or greater than the circumference of the ball.

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