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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 Rs.12 per m2, what will be the cost of painting these cones? (Use π=3.14 and 1.04=1.02)

Solution

Diameter of the base of tent =40 cm

Radius of the base of cone (r)=402=20 cm=0.2 m

Height (h)=1 m= 100 cm

Slant height (l)=r2+h2=(20)2+(100)2=400+10000=10400 cm=102 cm(approx)=1.02 m

Now curved surface area of one cone=πrl=3.14×0.2×1.02 m2=0.64056 m2

Curved surface area of 50 such cones =0.64056×50=32.028 m2

Rate of painting =Rs.12 per m2

Total cost=Rs.32.028×12=Rs.384.336=Rs.384.34

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