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Question -

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.



Answer -

Given,

Diameter to top ofbucket = 40 cm

So, the radius (r1)= 40/2 = 20 cm

Diameter of bottompart 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 oftin sheet used for making bucket per dm2 = Rs 1.20

So, the total costfor 17.87dm2 = 1.20 × 17.87 = Rs 21.40

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

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