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Standard IX

Mathematics

Volume of a sphere

The diameter ...

Question

The diameter of a sphere is 21 cm. Calculate its volume

4851

c m^{3}

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4000

c m^{3}

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2000

c m^{3}

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3850

c m^{3}

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Solution

The correct option is A 4851 $c m^{3}$
Diameter = 21 cm
$r = \frac{21}{2} c m$
Volume of the sphere $= \frac{4}{3} π r^{3}$
$= \frac{4}{3} \times \frac{22}{7} \times \frac{21}{2} \times \frac{21}{2} \times \frac{21}{2}$
$= 4851 c m^{3}$

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The diameter of a sphere is 21 cm. Calculate its volume

The correct option is A 4851 cm3Diameter = 21 cmr=212cmVolume of the sphere=43πr3=43×227×212×212×212=4851cm3

The correct option is A 4851 $c m^{3}$
Diameter = 21 cm
$r = \frac{21}{2} c m$
Volume of the sphere $= \frac{4}{3} π r^{3}$
$= \frac{4}{3} \times \frac{22}{7} \times \frac{21}{2} \times \frac{21}{2} \times \frac{21}{2}$
$= 4851 c m^{3}$