Question

A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends as shown in the figure.if the length of solid formed is 21cm and diameter of the base of the cylinder is 14cm find the volume of the medicine capsule shape can be filled inside

Answer 1

I think, this is the solution

Answer 2

The volume of the medicine capsule shape can be filled inside  is 19917.33 cubic cm

Step-by-step explanation:

A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends

Diameter of cylinder = 14 cm

Radius of cylinder = $\frac{14}{2}= 7 cm$

Radius of hemisphere = 7 cm

Height of hemisphere 1 = 7 cm

Height of hemisphere 2 = 7 cm

Total height of capsule = 21 cm

Height of cylinder = Total height - (Height of hemisphere 1+ Height of hemisphere 2)

Height of cylinder = 21-(7+7)=7 cm

Volume of medicine = Volume of cylinder + Volume of 2 hemispheres

Volume of medicine =$\pi r^2 h +2(\frac{2}{3} \pi r^3)$

Volume of medicine =$\frac{22}{7} \times 7 \times 7 + \frac{4}{3} \times \frac{22}{7} \times 7^3=19917.33 cm^3$

Hence the volume of the medicine capsule shape can be filled inside  is 19917.33 cubic cm

#Learn more:

A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends . The length of the entire capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area.​

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