CBSE Class 9 Mathematics Question 11 of 44

Surface Areas and Volumes — Question 3

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3
Question

Question 1(iii)

Find the surface area of a sphere of radius 14 cm.

Answer

Given,

Radius of sphere (r) = 14 cm

By formula,

Surface area of the sphere (A) = 4πr2

Substituting values we get :

A=4×227×(14)2=4×227×14×14=4×227×196=4×22×28=2464 cm2.A = 4 \times \dfrac{22}{7} \times (14)^2 \\[1em] = 4 \times \dfrac{22}{7} \times 14 \times 14 \\[1em] = 4 \times \dfrac{22}{7} \times 196 \\[1em] = 4 \times 22 \times 28 \\[1em] = 2464 \text{ cm}^2.

Hence, surface area of sphere = 2464 cm2.