ر (
A-long
high way 50 conical pillars are
constructed. Each pillar has base diameter 28
am and vertical height 48cm. Find the total
cost of painting these pillars at the rate of
Rs 120 per m².
Answers
Step-by-step explanation:
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Given :- Along a highway 50conical pillars are constructed. Each pillar has base diameter 28 cm and vertical height 48cm. find the total cost of painting these pillars at the rate of Rs. 120 per m².
Solution :-
we know that,
Slant height of cone = √[radius² + height²]
CSA of cone = π * radius * slant height .
Radius = diameter / 2 .
So,
→ Radius of cone = 28/2 = 14 cm.
then,
→ slant height of cone = √[14² + 18²] = √[196 + 2304] = √(2500) = 50 cm.
therefore,
→ curved surface area of one conical pillar = (22/7) * 14 * 50 = 22 * 2 * 50 = 2200 cm².
hence,
→ curved surface area of 50 conical pillar = 50 * 2200 = 110000 cm².
now, we know that,
10000 cm² = 1m².
then,
→ 10000 cm² = 1m².
→ 1 cm² = (1/10000) m²
→ 110000 cm² = (1/10000) * 110000 = 11 m²
hence,
→ total cost of painting these pillars at the rate of Rs. 120 per m² = 120 * 11 = Rs.1320 (Ans.)
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