# 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 isA. 0.36 cm3B. 0.35 cm3C. 0.34 cm3D. 0.33 cm3

Capacity of capsule = Volume of 2 hemispherical part + volume of cylindrical part

Now,

Diameter of capsule = 0.5 cm

Radius of capsule, r = 0.25 cm

Also,

Height of entire capsule = 2 cm

Let the height of cylindrical part be h.

Then

Height of entire capsule = radius of 2 hemispherical parts + height of cylindrical part

2 = 2r + h

2 = 2(0.25) + h

h = 1.5 cm

Volume of capsule

Volume of hemisphere of radius, r = (2/3) πr3

And volume of cylinder = πr2h,

h = height of cylinder

Volume of capsule

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