Question

The radii of the end of a bucket 45 cm high are in the ratio 4:1 if the capacity of the bucket is 48510 cm³. Calculate the radii of the end of the bucket.​

Answer 1

Answer:

Clearly, bucket forms a frustum of a cone such that the radii of its circular ends are r

1

=28cm,r

2

=7cm and height h=45m.

Therefore the capacity of the bucket = volume of the frustum

Capacity of the bucket

=

3

1

πh(r

1

2

+r

2

2

+r

1

r

2

)

=

3

1

×

7

22

×45(28

2

+7

2

+28×7)

=22×15×(28×4+7+28)

=330×147cm

3

=48510cm

3