Question

Which is closest to the volume of a ball with a diameter equal to 8.5 inches? O 285.7 in 3 O 352.4 in O 300.5 in O 321.4 in3

Answer 1

Solution

$\begin{gathered} D\text{ =8.5} \\ r\text{ = }\frac{D}{2} \\ r\text{ = }\frac{8.5}{2} \\ r\text{ = 4.25 in} \\ \text{Volume of a ball/Spherical = }\frac{4}{3}\times\pi\times r^3^{} \\ \text{Volume = }\frac{4}{3}\times\frac{22}{7}\text{ }\times(4.25)^3 \\ \text{Volume = }\frac{6755.375}{21}\text{ = 321.68} \end{gathered}$

The FInal answer is 321.68