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Question

# The diameter of the ends of a bucket of height 24 cm are 42 cm and 14 cm

respectively .Find the capacity of the bucket

- 16016 cm
^{3} - 1616 cm
^{3} - 6016 cm
^{3} - 61160 cm
^{3}

^{3}^{3}^{3}^{3}Hint:

### Volume of frustum of cone =

## The correct answer is: 16016 cm^{3}

### We have given the dimensions of a bucket which is of frustrum shape

Top diameter = 42 cm

Top radius, R = 21 cm

Bottom diameter = 14

Bottom radius, r = 7 cm

Height of frustrum , h = 24 cm

Therefore capacity of bucket = volume of bucket

=

=

=

= 176 × 91

Therefore, the correct option is a)16016 cm^{3}

Therefore, the correct option is a)16016 cm

^{3}

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