CBSE Class 9 Mathematics Question 13 of 44

Surface Areas and Volumes — Question 5

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5
Question

Question 2(ii)

Find the surface area of a sphere of diameter 21 cm.

Answer

Given,

Diameter of sphere (d) = 21 cm

Radius of sphere (r) = Diameter2=212\dfrac{\text{Diameter}}{2} = \dfrac{21}{2} = 10.5 cm

By formula,

Surface area of a sphere (A) = 4πr2

A=4×227×(10.5)2=4×227×10.5×10.5=4×22×1.5×10.5=1386 cm2.A = 4 \times \dfrac{22}{7} \times (10.5)^2 \\[1em] = 4 \times \dfrac{22}{7} \times 10.5 \times 10.5 \\[1em] = 4 \times 22 \times 1.5 \times 10.5 \\[1em] = 1386 \text{ cm}^2.

Hence, the surface area of a sphere = 1386 cm2.