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 the entire capsule is 2 cm. Find the capacity of the capsule.​

Answer 1

Capacity of the medicine = Volume of both the hemispherical parts + Volume of cylindrical part

Volume of a hemisphere of radius 'r' =

$\frac{2}{3} \pi {r}^{3}$

Volume of a cylindrical =πr^2h where r is

the radius of the base of the cylinder and h is the height.

The hemisphere and the cylinder will have the same radius r =0.25cm

Since total length of the toy is 2 cm, the length of the conical part

will be 2−0.25−0.25=1.5cm

Hence, Volume of the medicine =2×(

$( \frac{2}{3} \times \frac{22}{7} \times {0.25}^{3} ) + \frac{22}{7} \times {0.25}^{2} \times 1.5$

=

$\frac{22}{7} \times {0.25}^{2} (2 \times \frac{2}{3} \times 0.25 + 1.5) = {0.36}cm^{3}$

Hope it helps!

Answer 2

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. Hence, the capacity of capsule is 0.36cm3.31

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