The surface area of a sphere is 5544 , cm^2. | vedclass

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Question

(A) The surface area of a sphere is given by the formula $A = 4 \pi r^2$.Given $A = 5544 \, cm^2$,we have $4 	imes \frac{22}{7} 	imes r^2 = 5544$.$r

Vedclass · Accepted Answer

$38808$

Vedclass · Answer

(A) The surface area of a sphere is given by the formula $A = 4 \pi r^2$.Given $A = 5544 \, cm^2$,we have $4 	imes \frac{22}{7} 	imes r^2 = 5544$.$r^2 = \frac{5544 	imes 7}{4 	imes 22} = \frac{5544 	imes 7}{88} = 63 	imes 7 = 441$.Thus,$r = \sqrt{441} = 21 \, cm$.The volume of a sphere is given by $V = \frac{4}{3} \pi r^3$.$V = \frac{4}{3} 	imes \frac{22}{7} 	imes (21)^3 = \frac{4}{3} 	imes \frac{22}{7} 	imes 21 	imes 21 	imes 21$.$V = 4 	imes 22 	imes 21 	imes 21 = 88 	imes 441 = 38808 \, cm^3$.

The surface area of a sphere is $5544 \, cm^2$. Find its volume in $cm^3$.

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