Answer:
The softball has a volume which is 8 times the volume of the golf ball
Step-by-step explanation:
The volume of a sphere is:
[tex] V= \frac{4}{3}\pi {r}^{3} [/tex]
The volume of the Golf ball is
[tex]V= \frac{4}{3} \times 3.14 \times {(2.1)}^{3} [/tex]
[tex]V= 38.77272 {cm}^{3} [/tex]
The volume of the soft ball is :
[tex]V= \frac{4}{3} \times 3.14 \times {(4.2)}^{3} [/tex]
[tex]V= 310.18176 {cm}^{3} [/tex]
To compare the volume s, we divide the volume of the softball by that of the golf ball:
[tex] \frac{\frac{4}{3} \times 3.14 \times {(4.2)}^{3} }{\frac{4}{3} \times 3.14 \times {(2.1)}^{3} } = \frac{ {4.2}^{3} }{ {2.1}^{3} } = \frac{4.2 \times 4.2 \times 4.2}{2.1 \times 2.1 \times 2.1} = 2 \times 2 \times 2 = 8[/tex]
The softball has a volume which is 8 times the volume of the golf ball
