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The volume of hemisphere is 4851/2 …

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The volume of hemisphere is 4851/2 . Find its curved surface area.

Posted by Arshita Gupta 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

Volume of the sphere = 4851
{tex}\Rightarrow \frac { 4 } { 3 } \pi r ^ { 3 } = 4851{/tex}
{tex}\Rightarrow 4 \times \frac { 22 } { 7 } \times r ^ { 3 } = 4851{/tex}
{tex}\Rightarrow r ^ { 3 } = \frac { 4851 \times 7 } { 88 }{/tex}
{tex}\Rightarrow r ^ { 3 } = \sqrt [ 3 ] { \frac { 4851 \times 7 } { 88 } }{/tex}
{tex}\Rightarrow r ^ { 3 } = \sqrt [ 3 ] { 385.875 }{/tex}
{tex}\Rightarrow{/tex} r = 7.28 cm³
Curved surface area of a sphere = {tex}4 \pi r ^ { 2 }{/tex}
{tex}= 4 \times \frac { 22 } { 7 } \times ( 7.280 ) ^ { 2 }{/tex}
{tex}= \frac { 4663.8592 } { 7 }{/tex}
= 666.2656 cm²

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