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Mathematics

Find the surface area of a sphere of diameter 3.5 m.

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Answer

Given,

Diameter of sphere (d) = 3.5 m

Radius of sphere (r) = Diameter2=3.52\dfrac{\text{Diameter}}{2} = \dfrac{3.5}{2} = 1.75 m

By formula,

Surface area of a sphere (A) = 4πr2

Substituting values we get :

A=4×227×(1.75)2=4×227×1.75×1.75=4×22×0.25×1.75=38.5 m2.A = 4 \times \dfrac{22}{7} \times (1.75)^2 \\[1em] = 4 \times \dfrac{22}{7} \times 1.75 \times 1.75 \\[1em] = 4 \times 22 \times 0.25 \times 1.75 \\[1em] = 38.5 \text{ m}^2.

Hence, the surface area of a sphere = 38.5 m2.

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