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A bucket has top and bottom diameters of 40 cm and 20 cm respectively. Find the volume of the bucket if its depth is 12 cm. Also, find the cost of tin sheet used for making the bucket at the rate of Rs 1.20 per dm2.

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Very important question of mensuration including
very important concept of it.need solution!
Rd sharma class 10 maths exercise-16.3 mensuration.

we have to find the vploume of the bucket and the
cost of tin sheet used for making the bucket at
the rate of rsn1.20 per dm2 given that a bucket
has top and bottom diameters of 40 cm and 20 cm
respectively.Depth is given 12cm.

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1 Answer

  1. Given,

    Diameter to top of bucket = 40 cm

    So, the radius (r1) = 40/2 = 20 cm

    Diameter of bottom part of the bucket = 20 cm

    So, the radius (r2) = 30/2 = 10cm

    Depth of the bucket (h) = 12 cm

    Volume of the bucket = 1/3 π(r22 + r12 + r1 r2 )h

    = π/3(202 + 102 + 20 × 10)12

    = 8800 cm3

    Now,

    Given that the cost of tin sheet used for making bucket per dm2 = Rs 1.20

    So, the total cost for 17.87dm2 = 1.20 × 17.87 = Rs 21.40

    Therefore, the cost of tin sheet used for making the bucket is Rs 21.40

     

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