The volume of a solid hemisphere is 19404 , c | vedclass

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Question

(A) The volume of a solid hemisphere is given by the formula $V = \frac{2}{3} \pi r^3$.Given $V = 19404 \, cm^3$,we have $\frac{2}{3} 	imes \frac{22}

Vedclass · Accepted Answer

$4158$

Vedclass · Answer

(A) The volume of a solid hemisphere is given by the formula $V = \frac{2}{3} \pi r^3$.Given $V = 19404 \, cm^3$,we have $\frac{2}{3} 	imes \frac{22}{7} 	imes r^3 = 19404$.Solving for $r^3$: $r^3 = \frac{19404 	imes 3 	imes 7}{2 	imes 22} = 9261$.Taking the cube root: $r = \sqrt[3]{9261} = 21 \, cm$.The total surface area of a solid hemisphere is given by $TSA = 3 \pi r^2$.$TSA = 3 	imes \frac{22}{7} 	imes 21 	imes 21 = 3 	imes 22 	imes 3 	imes 21 = 4158 \, cm^2$.

The volume of a solid hemisphere is $19404 \, cm^3$. Its total surface area is ....... $cm^2$.

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