Question

The total surface area of a solid hemisphere is 462cm.find it's volume
${cm}^{2}$

Answer 1

$Heya \: @user$
HERE IS THE ANSWER

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TSA OF A HEMISPHERE = 3πr²
3πr²=462
3×22/7×r²=462
66/7r²=462
r²=462×7/66
r²=49
r=√49=7

volume of hemisphere = 2/3πr³
2/3×22/7×7×7×7=

718.6cm³

HOPE IT HELPS YOU

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Answer 2

Hi Friend !!!


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Total Surface Area of hemisphere
$= 4\pi {r}^{2}$
3(22/7)r² = 462

r² = 462×7/3×22

r² = 21×7/3

r² = 7²

r = 7


$volume = \frac{2}{3} \pi {r}^{3} \\ \\ = \frac{2}{3} \times \frac{22}{7} \times 7 \times 7 \times 7 \\ \\ = \frac{2 \times 22 \times 7 \times 7}{3} \\ \\ = \frac{2,156}{3} \\ \\ = 718.6666667 {cm}^{3} \\ \\ hope \: it \: helps \: u$
:-)