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Dome of a building is in …

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Dome of a building is in the form of a hemisphere from inside it was White washed at the cost of rupees 498. 96 if the cost of whitewashing is rupees 2 per metre square find the volume of the air inside the Dome
  • 1 answers

Sia ? 6 years, 5 months ago

Let the radius of the hemisphere be r m.
Inside surface area = 249.48 m2
{tex}\Rightarrow{/tex} 2{tex}\pi {/tex}r2 = 249.48
{tex}\Rightarrow{/tex}2 × {tex}22\over7{/tex}× r2 = 249.48
{tex}\Rightarrow{/tex}r2 = {tex}{249.48\times7}\over2\times22{/tex}
{tex}\Rightarrow{/tex}r2 = 39.69
{tex}\Rightarrow{/tex}r = {tex}\sqrt{39.69}{/tex}
{tex}\Rightarrow{/tex}r = 6.3 m
{tex}\therefore{/tex} Volume of the air inside the dome = {tex}{2\over3}\pi r^3{/tex}
{tex}={2\over3}\times{22\over7}\times(6.3)^3{/tex} = 523.9 m3

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