The internal and external diameters of a hollow hemisph

The internal and external diameters of a hollow hemisph
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The internal and external diameters of a hollow hemispherical vessel are 21 cm and 25.2 cm respectively. The cost of painting 1 cm2 of the surface is 10 paise.Find the total cost to paint the vessel all over.

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Right Answer is:

SOLUTION

Given,
internal diameter=21cm  227
internal radius= 212 =10.5cm
external diameter=25.2cm
external radius=25.22 =12.6cm
surface area of internal bowl=2πr²
=2 × 227×(10.5²)
= 2×22×10.5×10.57
=693cm²
surface area of external bowl=2πR²
=2 ×227 × (12.6²)
= 2×22×12.6×12.67
=997.9cm²
Surface area of ring=π(R²-r²)
=227(12.6²-10.5²)
=227(48.51)
= 22×48.517
=152.46cm²
Cost of internal bowl=693×0.1= Rs. 69.3
Cost of external bowl=997.9×0.1= Rs. 99.79
Cost of ring=152.46×0.1= Rs.15.246
Cost of bowl=69.3+99.7+15.2= Rs.184.2