Question

At my apartment I have a closet with 250 ft3 worth of space. If each of my spherical cannonballs have a radius of .75 feet, how many can I fit in my closet?

Answer 1

Answer:

141

Step-by-step explanation:

We need to first find the volume of the cannonballs and then, divide the volume of the closet by the volume of the cannonballs.

The radius of the spherical cannonball is 0.75 feet.

The volume of a sphere is:

$V = \frac{4}{3} \pi r^3$

where r = radius

Therefore, the volume of the cannonballs is:

$V = \frac{4}{3} * \pi * 0.75^3\\\\V = 1.77 ft^3$

Therefore, the number of cannonballs that can fit the closet is:

250 / 1.77 = 141.24

Since the number is a maximum and it must be a whole number, the number of cannonballs that can fit the closet is 141.