Question

How many golf balls will fit into a round basketthat is 20 inches high and has a diameter of 12inches?

Answer 1

Given the dimensions of the basket:

height = 20 inches

diameter = 12 inches

The radius of the basket will be:

$\frac{diameter}{2}\text{ = }\frac{12}{2}\text{ = 6 inches}$

We know that the shape of a basket is a cylinder,

Thus, let's find the volume of the basket, using the formula:

$\text{volume = }\pi r^2\text{ h}$

where,

h = 20 inches

r = 6 inches

$\begin{gathered} V\text{ = }\pi6^2\text{ }\ast\text{ 20} \\ \\ V\text{ = 2261.95 inches} \end{gathered}$

Now a golf ball has a diameter of approximately 1.68 inches

Now find the volume of the golf ball since it ia spherical in shape, using the formula:

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

where radius of a golf ball, r = 1.68/2 = 0.84 inches

$\begin{gathered} \text{volume }of\text{ golf ball = }\frac{4}{3}\pi\text{ }\ast0.84^3\text{ } \\ =\text{ 2.48 inches} \end{gathered}$

To find how many golf balls will fit into the basket, we have:

$\frac{volume\text{ of basket}}{\text{volume of golf ball}}\text{ = }\frac{2261.95}{2.48}\text{ = 912.08}$

Therefore, we can see that approximately 912 golf balls will fit into the basket.

ANSWER:

912 golf balls