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Mathematics
13. Suface Areas and Volumes
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Q7 of 75 Page 225

The diameter of the moon is approximately one fourth of the diameter of the earth. Find the ratio of their surface areas

Let the diameter of earth be d. Therefore, the diameter of moon will be

Radius (Earth) =


Radius (Moon) = * =


Surface Area of moon = ()2


Surface Area of Earth = ()2


Ratio =


=


=


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5

A hemispherical bowl made of brass has inner diameter 10.5 cm. Find the cost of tin-plating it on the inside at the rate of Rs 16 per 100 cm2

6

Find the radius of a sphere whose surface area is 154 cm2

8

A hemispherical bowl is made of steel, 0.25 cm thick. The inner radius of the bowl is5 cm. Find the outer curved surface area of the bowl

9

A right circular cylinder just encloses a sphere of radius r (see Fig. 13.22). Find

(i) Surface area of the sphere,


(ii) Curved surface area of the cylinder


(iii) Ratio of the areas obtained in (i) and (ii)


Questions · 75
13. Suface Areas and Volumes
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