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A bucket is in the form of frustum or cone and holds 28.490 liters of water. The radii of the top and bottom are 28 cm and 21 cm respectively. Find the height of the bucket.

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25 cm

15 cm

39 cm

40 cm

answer is B.

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Detailed Solution

At first the volume of bucket is given in liters and the radii in cms, so we need to change the volume into cm3 We will be using, 1 litre = 1000 cm3

volume of bucket = 24.490

= 28490 cm3 Now as the bucket is in the form of a frustum of a cone, so we will be using the formula of volume of frustum of a cone

Where

and

are the radii of top and bottom of the bucket to find the bright of the bucket, to find the height of the bucket

Therefore, height of the bucket = 15 cm

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