Question

If the radii of the circular ends of a bucket of height 40 cm are of lengths 35 cm and 14 cm, then the volume of the bucket in cubic centimeters, is

Options

• 60060

•  80080

• 70040

• 80160

Answer 1

Height of the bucket = 40 cm

Radius of the upper part of bucket = 35 cm

R₁ = 35 cm and

R₂ = 14 cm

The volume of the bucket

`=1/3pih (r_1^2 + r_2^2 +r_2^3)`

`=1/3 xx 22/7 xx 40 [(35)^2 + (14)^2 + (35 xx 14)]`

`=1/3 xx 22/7 xx 40 [1225 + 196 + 490]`

`=1/3 xx 22/7 xx 40 xx 1911`

`=(1681680)/21`

`= 80080 cm^2`