Volume of hemisphere is 4851/2 . …
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Posted by Ujjwal Kumar Pathak 5 years, 11 months ago
- 2 answers
Yogita Ingle 5 years, 11 months ago
The volume of hemisphere ={tex} \dfrac{4851}{2} cm^{2}{/tex}
To find, the curved surface area(CSA) of a hemisphere = ?
We know that,
The volume of a hemisphere {tex}=\dfrac{2}{3} \pi r^{3}{/tex}
{tex}⇒\dfrac{2}{3} \times \dfrac{22}{7} r^{3}=\dfrac{4851}{2} cm^{2}{/tex}
{tex}⇒ r^3=(4851\times 7 \times 3)/(2 \times 2 \times 22){/tex}
{tex}⇒ r^3=\dfrac{101871}{88}{/tex}
{tex}⇒ r^3 = 1157.625{/tex}
{tex}⇒ r^3 = \dfrac{1157625}{100}{/tex}
{tex}⇒ r^3 = (\dfrac{105}{10})^{3} =10.5^{2}{/tex}
⇒ r = 10.5 cm
{tex}∴ The curved surface area(CSA) of a hemisphere =2\pi r^{2}{/tex}
{tex}= 2 \times \dfrac{22}{7} \times 10.5 \times 10.5{/tex}
{tex}= 2 \times 22 \times 1.5 \times 10.5cm^{2}{/tex}
{tex}= 44 \times 15.75cm^{2}{/tex}
{tex}=693cm^2{/tex}
Hence, the curved surface area(CSA) of a hemisphere ={tex}693cm^2.{/tex}
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Aman Narwal 5 years, 11 months ago
0Thank You