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A hemispherical bowl made of brass has an inner diameter of 14 cm. Find the cost of painting it from the inside at the rate of 15 per cm². ​(π=227)\
Question

A hemispherical bowl made of brass has an inner diameter of 14 cm. Find the cost of painting it from the inside at the rate of 15 per cm².

(π=227)\left(\pi =\frac{22}7\right)​​

A.

Rs. 4,120

B.

Rs. 3,170

C.

Rs. 4,620

D.

Rs. 2,670

Correct option is C

Given:

Inner diameter = 14 cm → Radius r = 142 \frac{14}{2}​ = 7 cm

Painting rate = ₹15 per cm²

Formula Used:

CSA of hemisphere = 2πr

Solution:

CSA of hemisphere = 2×227×722 \times \frac{22}{7} \times 7^2​​

=2×227×49=2×154=308 cm2= 2 \times \frac{22}{7} \times 49 = 2 \times 154 = 308 \, \text{cm}^2​​

Cost of painting = 308 × 15 = ₹4,620

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