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 = 210.5 cm = 5.25 cm
Surface area of hemispherical bowl = 2πr2
= 2 × 722 × 5.25 cm × 5.25 cm
= 173.25 cm2
Cost of tinplating 100 cm2 area = Rs 16
Cost of tinplating 173.25 cm2 area
= (₹10016) ×173.25 = 27.72
Therefore, the cost of tin-plating the inner side of the hemispherical bowl is Rs 27.72.