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

Options

A. `0.33 cm^(2)`
B. `0.34 cm^3`
C. `0.35 cm^3`
D. `0.36 cm ^3`

Answer

D

Explanation

Radius of the capsule =(0.5)/(2) cm = 0.25 cm
Let the length of cylindrical `=(2/3 pi r^3 xx 2)+ pi r^2 h`
`=4/3xx 22/7 xx (0.25)^2 xx 1.5`
`=(4/3 xx 22/7xx 1/4 xx 1/4xx1/4)+((cancel (22)^(11))/(7)xx 1/4 xx 1/4 xx (cancel(15)^3)/(cancel10_(cancel2)))`
`=(11)/(168)+(33)/(112)=((22 +99)/(336))=(121)/(336)=0.36 cm^3`