Question

An ice cream machine has two taps for filling ice cream cones of height 12 $cm$ and radius 3.5 $cm$. If the flow rate of ice cream from both taps is equal to 6.16 $\frac{c{m}^3}{s}$, find the maximum number of cones that can be filled by the machine in an hour . (Given: π = $\frac{22}{7}$)

Answer 1

Volume of an ice cream cone

= $\frac{1}{3}$π$r^2$$h$

= $\frac{1}{3}$× $\frac{22}{7}$ × ${3.5}^2$ × 12

= 154 $c{m}^3$

Volume of ice cream coming out of a tap in an hour = 6.16 × 3600 $c{m}^3$ = 22176 $c{m}^3$

Maximum number of cones that can be filled by a tap in an hour = $\frac{22176}{154}$ = $144$

Maximum number of cones that can be filled by the machine in an hour

= 2×144 = 288 (∵ there are two taps)