Math, asked by vanshgaidhane, 1 month ago

solve following question

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Answered by HearthackerAshu15
2

\huge{\mathcal {\purple {A}\green {n}\pink {s}\blue {w}\purple{e}\green {r}}}

As we know the formula of hemisphere

Then we show Csa/volume

it is eqauals to 6v=s×d

\huge\colorbox{orange}{çhű࿐ ❤}

Answered by ExploringMathematics
0

\dashrightarrow\textrm{Diameter (d) = 2 $\times$ r = 2r}

\dashrightarrow\textrm{Curved Surface Area (s) = 2 $\times\: \pi$ $\times$ r$^2$ = 2$\pi$r$^2$}

\dashrightarrow\textrm{Volume (v) = 2/3 $\times\: \pi$ $\times$ r$^3$= 2/3$\pi$r$^3$}

\textsf{We need to Prove : 6v = s $\times$ d}

\longrightarrow\rm{6\times 2/3\pi r^3=2\pi r^2\times 2r}

\longrightarrow\rm{12/3\pi r^3=4\pi r^2\times r}

\longrightarrow\rm{4\pi r^3=4\pi r^3}

\boxed{\boxed{\textsf{Hence Proved!}}}

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