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Question

Mathematics Question on Surface Area of a Sphere

A hemispherical bowl made of brass has inner diameter 10.5 cm. Find the cost of tin-plating it on the inside at the rate of ₹ 16 per 100 cm2.

Answer

Inner radius (r) of hemispherical bowl r = 10.52\frac{10.5}{2} cm = 5.25 cm
Surface area of hemispherical bowl = 2πr22\pi r^2
= 2 × 227\frac{22}{7} × 5.25 cm × 5.25 cm
= 173.25 cm2

Cost of tinplating 100 cm2 area = Rs 16
Cost of tinplating 173.25 cm2 area
= (16100₹\frac{16}{100}) ×173.25 = 27.72
Therefore, the cost of tin-plating the inner side of the hemispherical bowl is Rs 27.72.