To calculate the volume of a golf ball, which is spherical, you can use the formula for the volume of a sphere:
\[ V = \frac{4}{3} \pi r^3 \]
First, you need to find the radius of the golf ball. The radius \( r \) is half of the diameter. Given that the diameter is 1.68 inches:
\[ r = \frac{1.68}{2} = 0.84 \text{ inches} \]
Next, substitute the radius into the volume formula:
\[ V = \frac{4}{3} \pi (0.84)^3 \]
Calculate \( 0.84^3 \):
\[ 0.84^3 \approx 0.5927 \]
Then, multiply by \(\pi\):
\[ \pi \times 0.5927 \approx 1.8627 \]
Finally, multiply by \( \frac{4}{3} \):
\[ \frac{4}{3} \times 1.8627 \approx 2.4836 \]
Rounded to two decimal places, the volume is approximately:
\[ \approx 2.48 \text{ cubic inches} \]
Thus, the correct answer is:
\[ 2.48 \text{ cubic inches} \]
The diameter of a golf ball is 1.68 inches. What is the volume of the golf ball?
The diameter of a golf ball is 1.68 inches. What is the volume of the golf ball?
2.48 cubic inches
18.35 cubic inches
2.99 cubic inches
19.86 cubic inches
1 answer