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Question

Mathematics Question on Surface Area of a Sphere

Find the total surface area of a hemisphere of radius 10 cm. (Use π\pi = 3.14)

Answer

hemisphere

Radius (r) of hemisphere = 10 cm
Total surface area of hemisphere = CSA of hemisphere + Area of circular end of hemisphere
= (4πr2)2+πr2=3πr2\frac{(4\pi r^2)}{2} + \pi r^2 = 3\pi r^2

The radius of the hemisphere, r = 10cm

Total Surface area = 3πr23\pi r^2
= 3 × 3.14 × 10cm × 10cm
= 942 cm2
Therefore, the total surface area of such a hemisphere is 942 cm2 .