Question

A medicine-capsule is in the shape of a cylinder of diameter $0.5$cm with two hemispheres stuck to each of its ends. The length of entire capsule is $2$cm. The capacity of the capsule is

• A. $0.36c{m}^3$
• B. $0.35c{m}^3$
• C. $0.34c{m}^3$
• D. $0.33c{m}^3$

Answer 1

Answer: (A)

$0.36c{m}^3$

Volume of cylinder$=\pi r^{2}h=\pi \left(0.25{)}^2\right(2-0.5)=0.297$

Volume of hemisphere$=\frac{2}{3}\pi r^3=\frac{2}{3}\pi (0.25{)}^3=0.0327$

$2\times$ Volume of hemisphere$=2\left(0.0327\right)=0.06547$

Volume of capsule$=0.297+0.06547=0.3625c{m}^3$