• # question_answer A bucket is in the form of a frustum of a cone, its depth is 15 cm and the diameters of the top and the bottom are 56 cm and 42 cm respectively. How many litres can the bucket hold? A)  $13\,L$                     B)  $27\text{ }L$            C)  $42.94\text{ }L$      D)         $28.49\text{ }L$

Volume of bucket           $=\frac{\pi h}{3}[r_{1}^{2}+{{r}_{2}}^{2}+{{r}_{1}}{{r}_{2}}]$             $=\pi \times \frac{15}{3}[{{(28)}^{2}}+{{(21)}^{2}}+28+21]$ $=28490\,c{{m}^{3}}$ $\therefore$ Volume of bucket $=28490\text{ }c{{m}^{3}}=28.49$