Question

If the radii of the circular ends of a bucket of height 40 cm are 35 cm and 14 cm respectively, then the volume of the bucket in cubic centimeters is(approx in $c{m}^2$)

• A. $60060$
• B. $80048$
• C. $70070$
• D. $80160$

Answer 1

The correct option is B $80048$

Since a bucket is Frustum its volume is $\frac{\pi }{3}h(R^2+r^2+R\times r)$ where h is height ,R is external radius and r is internal radius.

Thus here volume =$=\frac{\pi }{3}\times 40\times ({35}^2+{14}^2+35\times 14)=25480\pi =80047.78$