CBSE Class 9 Mathematics Question 10 of 44

Surface Areas and Volumes — Question 2

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2
Question

Question 1(ii)

Find the surface area of a sphere of radius 5.6 cm.

Answer

Given,

Radius of sphere (r) = 5.6 cm

By formula,

Surface area of the sphere (A) = 4πr2

Substituting values we get :

A=4×227×(5.6)2=4×227×5.6×5.6=4×227×31.36=4×22×4.48=394.24 cm2A = 4 \times \dfrac{22}{7} \times (5.6)^2 \\[1em] = 4 \times \dfrac{22}{7} \times 5.6 \times 5.6 \\[1em] = 4 \times \dfrac{22}{7} \times 31.36 \\[1em] = 4 \times 22 \times 4.48 \\[1em] = 394.24 \text{ cm}^2

Hence, surface area of sphere = 394.24 cm2.