cones of height 12cm and radius 3.5cm are used to supplyice cream. If it is filled to the brim how muchcones are required to supply 15.4 litres of ice cream to the guest in a party?

Dear Student,

Please find below the solution to the asked query:

Given : Cones of height 12 cm and radius 3.5cm are used to supply ice cream.

We know volume of cone  = $\frac{\mathrm{\pi } {\mathrm{r}}^2 \mathrm{h}}{3}$ , So

Volume of ice cream in a cone  = $\frac{{\displaystyle \frac{22}{7}}\times 3.5^2 \times 12}{3} = \frac{{\displaystyle \frac{22}{2}\times 3.5 \times 12}}{3}= \frac{{\displaystyle 11\times 3.5 \times 12}}{3} = 11 \times 3.5 \times 4$ = 154 cm³
We know :  1 cm³  =  0.001  liter  , So

154 cm³ = 0.154 liter


Therefore, 

Total number of cones are required to supply 15.4 litres of ice cream to the guest in a party = $\frac{15.4}{0.154}$ = 100                          ( Ans )


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