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Volume of hemisphere is 4851/2 . Find curved surface area of hemisphere. |
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Answer» 693 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}\xa0 |
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