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Mathematics
21. Surface Area and Volume of a Sphere
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Q1 of 70 Page 21

Find the volume of a sphere whose radius is :

(i) 2 cm


(ii) 3.5 cm


(iii) 10.5 cm

Volume of a sphere = (4/3)πr3


(i) radius is 2 cm


⇒ Volume of the sphere = (4/3) × (22/7) × 23 = 33.52 cm3


(ii) radius is 3.5 cm


⇒ Volume of the sphere = (4/3) × (22/7) × 3.53 = 179.67 cm3


(iii) radius is 10.5 cm


⇒ Volume of the sphere = (4/3) × (22/7) × (10.5)3 = 4851 cm3


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12

A hemi-spherical dome of a building needs to be painted. IF the circumference of the base of the dome is 17.6 m, find the cost of painting it, given the cost of painting is Rs. 5 per 100 cm2.

13

The front compound wall of a house is decorated by wooden spheres of diameter 21 cm, placed on small supports as shown in Fig. 21.11. Eight such spheres are used for this purpose, and are to be painted silver. Each support is a cylinder of a radius 1.5 cm and height 7 cm and is to be painted black. Find the cost of paint required if silver paint costs 25 paise per cm2 and black paint cost 5 paise per cm2.

2

Find the volume of a sphere whose diameter is:

(i) 14 cm


(ii) 3.5 dm


(iii) 2.1 m

3

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Questions · 70
21. Surface Area and Volume of a Sphere
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