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A hemi-spherical dome of a building needs to be painted. IF the circumference of the base of the dome is 17.6 m, find the cost of painting it, given the cost of painting is Rs. 5 per 100 cm2.
Answer :
Circumference of a circle = 2πr
Surface area of a hemisphere = 2πr2
Given, base of the dome is 17.16 m
⇒ 2 × (22/7) × r = 17.6
⇒ r = 2.8 m
Surface area of the hemisphere = 2 × (22/7) × 2.82 = 49.28 m2 = 492800 cm2
Cost of painting is Rs. 5 per 100 cm2,
Cost of painting the dome = (492800/100) × 5 = Rs. 24640
Answer :
Circumference of a circle = 2πr
Surface area of a hemisphere = 2πr2
Given, base of the dome is 17.16 m
⇒ 2 × (22/7) × r = 17.6
⇒ r = 2.8 m
Surface area of the hemisphere = 2 × (22/7) × 2.82 = 49.28 m2 = 492800 cm2
Cost of painting is Rs. 5 per 100 cm2,
Cost of painting the dome = (492800/100) × 5 = Rs. 24640
Hari031721:
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