Question

The volume of a hemispherical ball is given by the $V=\frac{2}{3}\pi r^3$ where V is the volume and r is the radius Find the diameter of he hemisphere whose volume is $\frac{468512}{21}{m}^3$

• A. $22m$
• B. $11m$
• C. $33m$
• D. $44m$

Answer 1

Answer: (D)

$44m$

$V=\frac{2}{3}\pi r^3\frac{2}{3}\pi r^3=\frac{468512}{21}{r}^3=\frac{468512}{21}\left(\frac{3}{2\pi }\right)=\frac{468512}{2\times 22}=10648cu.mr=\sqrt[3]{310648}=22mDiameter=44m$