question_answer

If the radii of the circular ends of bucket in the form of frustum are 28 cm and 7 cm and the height is 45 cm. The capacity of the bucket is ___.                   

A)  \[48150\,c{{m}^{3}}\]       

B)  \[48510\,c{{m}^{3}}\]     

C)         \[48105\,c{{m}^{3}}\]   

D)        \[48205\,c{{m}^{3}}\]        

Correct Answer: B

Solution :

Volume of frustum/bucket                         \[=\frac{1}{3}\pi h(r_{1}^{2}+r_{2}^{2}+{{r}_{1}}{{r}_{2}})\] \[=\frac{1}{3}\pi \times 45[{{(28)}^{2}}+{{(7)}^{2}}+(28\times 7)]=48510\,c{{m}^{3}}\]