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Mathematics

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

Mensuration

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Answer

Given, r = 14 cm.

Surface area of sphere = 4πr2.

Putting values in equation we get,

Surface area of sphere =

4×227×(14)2=4×22×1967=172487=24644 \times \dfrac{22}{7} \times (14)^2 = \dfrac{4 \times 22 \times 196}{7} = \dfrac{17248}{7} = 2464 cm2.

Volume of sphere = 43πr3\dfrac{4}{3}πr^3

Putting values in equation we get,

Volume of sphere =

43×227×(14)3=4×22×274421=24147221=1149823\dfrac{4}{3} \times \dfrac{22}{7} \times (14)^3 = \dfrac{4 \times 22 \times 2744}{21} = \dfrac{241472}{21} = 11498\dfrac{2}{3} cm3.

Hence, the surface area of sphere = 2464 cm2 and volume of sphere = 114982311498\dfrac{2}{3} cm3.

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