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Volume and surface area of a …

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Volume and surface area of a solid hemisphere are numerically equal. What is the diameter of hemisphere.

    • Posted by Satya Singh Veer 6 years, 4 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 4 months ago

    Let radius of the hemisphere be r.
    According to the question,
    Volume of hemisphere = Surface area of hemisphere

    {tex}\frac { 2 } { 3 } \pi r ^ { 3 } = 3 \pi r ^ { 2 }{/tex}

    {tex}r = \frac { 9 } { 2 }{/tex}units

    Diameter of the hemisphere = 2( radius of the hemisphere)
    {tex}\therefore \quad \text { diameter } = \frac { 9 } { 2 } \times 2 = 9{/tex}

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