MathematicsA 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 per  m2, what will be the cost of painting all these cones?

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 per  m2, what will be the cost of painting all these cones?


  1. A
    Rs.354.84
  2. B
    Rs.394.84
  3. C
    Rs.384.34
  4. D
      None of these 

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    Solution:

    Given : h=1 m; radius =402=20 cm=0.2 m
    Slant height(l) is,
            l2=h2+r2
        l2=12+0.22
    l=1+0.04=1.04=1.02 m Curved surface area of a cone =πrl=(3.14×0.2×1.02)m2=0.64046 m2
     Curved surface area of 50 cones =50×0.64046=32.028 m2
     Cost of painting =(12×32.028)=Rs. 384.34
    Hence, the cost of painting is Rs. 384.34
      
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