A bus stop is barricated from the remaining part of the road by using 50 hallow cones made of recycled cardboard. Each one has a base diameter of 40 cm and height 1m. if the outer side of each of the cones is to be painted and the cost of painting is Rs 25 per m2,what will be the cost of painting all these cones?
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Radius of the cone (r) = 40/2 cm = 20 cm = 0.2 m
Height of the cone (h) = 1 m
Let l be the slant height of a cone.
∴ l = √h2 + r2
⇒ l = √12 + 0.22
⇒ l = √1.04
⇒ l = 1.02 m
Rate of painting = ₹12 per m2
Curved surface of 1 cone = πrl m2
= (3.14 × 0.2 × 1.02) m2
= 0.64056 m2
Curved surface of such 50 cones = (50 × 0.64056) m2
= 32.028 m2
Cost of painting all these cones = ₹(32.028 × 12)
= ₹384.34
yash5180:
ti is correct
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