13. Surface Areas and Volumes Class 9 Mathematics Solutions English Medium-Exercise 13.8
13. Surface Areas and Volumes Class 9 Mathematics Solutions English Medium-Exercise 13.8 Get chapter-wise detailed explanations, step-by-step answers, important questions and exam-ready study material in Hindi and English medium.
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13. Surface Areas and Volumes Class 9 Mathematics Solutions English Medium-Exercise 13.8
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13. Surface Areas and Volumes Class 9 Mathematics Solutions English Medium-Exercise 13.8
NCERT Solutions Class 9 Mathematics English Medium
13. Surface Areas and Volumes
Topic: Exercise 13.8
EXERCISE 13.8
Assume π =
, unless stated otherwise.
1. Find the volume of a sphere whose radius is
(i) 7 cm (ii) 0.63 m
Solution:

2. Find the amount of water displaced by a solid spherical ball of diameter
(i) 28 cm (ii) 0.21 m
Solution:

3. The diameter of a metallic ball is 4.2 cm. What is the mass of the ball, if the density of the metal is 8.9 g per cm3 ?
Solution:

4. The diameter of the moon is approximately one-fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?
Solution:
Let diameter of earth = x

5. How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold?
Solution:
Diameter = 10.5 , radius = 5.25

6. A hemispherical tank is made up of an iron sheet 1 cm thick. If the inner radius is 1 m, then find the volume of the iron used to make the tank.
Solution:
Radius = 1.01 m , radius = 1 m

7. Find the volume of a sphere whose surface area is 154 cm2.
Solution:
Surface area = 154 cm2

8. A dome of a building is in the form of a hemisphere. From inside, it was white-washed at the cost of 498.96. If the cost of white-washing is 2.00 per square metre, find the
(i) inside surface area of the dome, (ii) volume of the air inside the dome.
Solution:

9. Twenty seven solid iron spheres, each of radius r and surface area S are melted to form a sphere with surface area S2. Find the
(i) radius r2 of the new sphere, (ii) ratio of S and S2.
Solution:
R = r

10. A capsule of medicine is in the shape of a sphere of diameter 3.5 mm. How much medicine (in mm3) is needed to fill this capsule?
Solution :
Diameter = 3.5 mm , r = 1.75 mm

All Topics From 13. Surface Areas and Volumes
See other sub-topics of this chapter:
1. Exercise 13.1 2. Exercise 13.2 3. Exercise 13.3 4. Exercise 13.4 5. Exercise 13.5 6. Exercise 13.6 7. Exercise 13.7 8. Exercise 13.8 9. Exercise 13.9NCERT Solutions Class 9 Hindi and English Medium – Complete Study Material
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