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Question

If the total surface area of a solid hemisphere is 462 cm2, then find its volume. [CBSE 2014]

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Solution

As, the total surface area of the solid hemisphere=462 cm23πr2=4623×227×r2=462r2=462×73×22r2=49r2=49r=7 cm

Now, the volume of the solid hemisphere=23πr3=23×227×7×7×7=21563 cm3=71823 cm3
= 718.67 cm3

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