CBSE Class 9 Mathematics Question 9 of 44

Surface Areas and Volumes — Question 1

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Question

Question 1(i)

Find the surface area of a sphere of radius 10.5 cm.

Answer

Given,

Radius of sphere (r) = 10.5 cm

By formula,

Surface area of the sphere (A) = 4πr2

Substituting values we get :

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, surface area of the sphere = 1386 cm2.