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Mathematics
21. Surface Area and Volume of a Sphere
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Q2 of 70 Page 21

Find the volume of a sphere whose diameter is:

(i) 14 cm


(ii) 3.5 dm


(iii) 2.1 m

Volume of sphere = (1/6)πd3


(i) Diamter is 14 cm


⇒ Volume of the sphere = (1/6) × (22/7) × 143 = 1437.33 cm3


(ii) Diamter is 3.5 dm = 35 cm


⇒ Volume of the sphere = (1/6) × (22/7) × 353 = 22.46 dm3


(iii) Diameter is 2.1 m


⇒ Volume of the sphere = (1/6) × (22/7) × 2.13 = 4.851 m3


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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.

1

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