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 is
(a) 0.36 cm3 (b) 0.35 cm3 (c) 0.34 cm3 (d) 0.33 cm3
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Answer:
Step-by-step explanation:
Capacity of the medicine = Volume of both the hemispherical parts + Volume of cylindrical part
Volume of a hemisphere of radius 'r' =
3
2
πr
3
Volume of a cylindrical =πr
2
h 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×(
3
2
×
7
22
×0.25
3
)+(
7
22
×0.25
2
×1.5)=
7
22
×0.25
2
(2×
3
2
×0.25+1.5)=0.36cm
3
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