Question

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

length of the cylindrical part of the capsule is 14mm and the diameter of hemisphere is 6mm, then find

the volume of the medicine capsule.​

Answer 1

Answer:

that is your answer

Given that:

Height of the cylindrical part of the capsule=14mm

Diameter of hemispherical part of the capsule=6mm

To find:

Volume of the medicine capsule=?

Solution:

Radius of hemispherical part of the capsule=3mm

Volume of the medicine capsule= Volume of cylindrical part of the capsule+ 2× Volume of hemispherical part of the capsule

=πr

2

h+2×

3

2

πr

3

=

7

22

×(3mm)

2

×14mm+2×

3

2

×

7

22

×(3mm)

3

Take (π=

7

22

)

=396mm

3

+113.143mm

3

=509.143mm

3

Therefore, Volume of the medicine

capsule=509.143mm