Math, asked by anupmukhiya204, 9 days ago

the curved surface area of a hemisphere is 693 Cm square what is the volume of the hemisphere

Answers

Answered by MaheswariS
1

\textbf{Given:}

\textsf{Curved surface area of hemisphere is 696 cm square}

\textbf{To find:}

\textsf{Volume of the hemisphere}

\textbf{Solution:}

\mathsf{Consider,}

\textsf{Curved surface area of the hemisphere = 693 cm square}

\implies\mathsf{2\,\pi\,r^2=693}

\implies\mathsf{2{\times}\dfrac{22}{7}{\times}r^2=693}

\implies\mathsf{r^2=\dfrac{693{\times}7}{2{\times}22}}

\implies\mathsf{r^2=\dfrac{63{\times}7}{2{\times}2}}

\implies\mathsf{r^2=\dfrac{9{\times}7{\times}7}{2{\times}2}}

\implies\mathsf{r^2=\dfrac{3^2{\times}7^2}{2^2}}

\implies\mathsf{r=\dfrac{3{\times}7}{2}}

\implies\boxed{\mathsf{r=\dfrac{21}{2}}}

\textsf{Volume of hemisphere}

\mathsf{=\dfrac{2}{3}\pi\,r^3}

\mathsf{=\dfrac{2}{3}{\times}\dfrac{22}{7}{\times}\dfrac{21}{2}{\times}\dfrac{21}{2}{\times}\dfrac{21}{2}}

\mathsf{=22{\times}\dfrac{21}{2}{\times}\dfrac{21}{2}}

\mathsf{=22{\times}\dfrac{441}{4}}

\mathsf{=11{\times}\dfrac{441}{2}}

\mathsf{=\dfrac{4851}{2}}

\mathsf{=2425.5\,cm^2}

\textbf{Answer:}

\mathsf{Volume\;of\;the\;hemisphere\;is\;2425.5\;cm^2}

\textbf{Find more:}

The total surface area of a solid hemisphere is 75 times the area of circle whose diameter is 6 cm what is the radius of the hemisphere ?

https://brainly.in/question/26688081

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