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
Solution:
It is given that
Diameter of cylinder = Diameter of hemisphere = 0.5 cm
Radius of cylinder = Radius of hemisphere = 0.5/2 = 0.25 cm
Total length of capsule = 2 cm
Here the length of cylindrical part of capsule h = length of capsule - radius of both hemispheres
Capacity of capsule = volume of cylindrical part + 2 x volume of hemisphere
The formula is
Volume of cylinder = πr²h
Volume of hemisphere = 2/3 πr³
Substituting the values
= 22/7 [(0.25)² × 1.5 + 2 × 4/3 (0.25)³]
By further calculation
= 22/7 [0.09375 + 0.0208]
= 22/7 [0.11455]
= 0.36 cm³
Therefore, the capacity of the capsule is 0.36 cm³.
✦ Try This: A medicine-capsule is in the shape of a cylinder of diameter 0.6 cm with two hemispheres stuck to each of its ends. The length of entire capsule is 4 cm. The capacity of the capsule is
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 13
NCERT Exemplar Class 10 Maths Exercise 12.1 Problem 14
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
Summary:
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 0.36 cm³
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