NCERT Solutions For Class 9, Maths, Chapter 13, Surface Area And Volume, Exercise 13.4

NCERT Solutions For Class 9, Maths, Chapter 13, Surface Area And Volume, Exercise 13.4 has very important questions related to sphere. This exercise explains the basic fundamentals of surface area and volume of sphere.

Class 9, Maths, Chapter 13, Exercise 13.4, Solutions

Q.1. Find the surface area of a sphere of radius:

(i) 10.5 cm

(ii) 5.6 cm

(iii) 14 cm

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Q.2. Find the surface area of a sphere of diameter:

(i) 14 cm

(ii) 21 cm

(iii) 3.5 m

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Q.3. Find the total surface area of a hemisphere of radius 10 cm. (Use π = 3.14)

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Q.4. The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases.

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Q.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 ₹16 per 100 cm^{2}.

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Q.6. Find the radius of a sphere whose surface area is 154 cm^{2}.

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Q.7. The diameter of the moon is approximately one fourth of the diameter of the earth. Find the ratio of their surface areas.

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Q.8. A hemispherical bowl is made of steel, 0.25 cm thick. The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl.

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Q.9. A right circular cylinder just encloses a sphere of radius r (see Figure). Find

(i) Surface area of the sphere,

(ii) Curved surface area of the cylinder,

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

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NCERT Solutions For Class 9 Maths Chapter 13, Surface Area And Volume (All Exercises)