Question

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

• A. $60060$
• B. $80080$
• C. $70040$
• D. $80160$

Answer 1

The correct option is B $80080$

Given:-

Height of bucket (h) $=40$ cm

$r_1=35cm$

$r_2=14cm$

To find:- volume of bucket

Solution:-

Volume of bucket $=\frac{\pi }{3}({\left(r_1\right)}^2+r_1{r}_2+{\left(r_2\right)}^2)\times h$

$\text{Volume of bucket}=\frac{22}{7\times 3}({35}^2+35\times 14+{14}^2)\times 40$

$=\frac{22}{21}\times 1911\times 40$

$=880\times 91$

$=80080{cm}^3$

Hence, the volume of the bucket is $80080{cm}^3$.