A bus stop is barricaded from the remaining part of the road, by using 50 hollow
cones made of recycled cardboard. Each cone has a base diameter of 40 cm and height
1 m. If the outer side of each of the cones is to be painted and the cost of painting is
12 perm', what will be the cost of painting all these cones? (Use = 3.14 and take
V1.04 =102)
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ANSWER
Curved surface area of cone will be painted=πrl
h=1m;radius=240=20cm=0.2m
and let l be the slant height,
∴l2=h2+r2=12+0.22
⇒l=1+0.04=1.04=1.02m (∵1.04=1.02 is given in the question)
⇒Curved surface area of 1 cone=πrl=(3.14×0.2×1.02)m2=0.64046m2
⇒ Curved surface area of 50 cones=50×0.64046=32.028m2
Cost of painting 1m2=Rs.12
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