Question

An ice-cream machine has two taps for filling ice-cream cones of height $6cm$ and radius $3cm$. If the rate of flow of ice-cream from both taps is equal to $2{cm}^3{s}^{-1}$. Find the maximum number of cones, the machine can fill in an hour.

• A. 255
• B. 254
• C. 258
• D. 260

Answer 1

The correct option is B

254

Volume of one ice-cream cone
= $\frac{1}{3}\times \pi \times 3^2\times 6=18\pi {cm}^3$
​Time required to fill one cone
= $\frac{18\pi {cm}^3}{2{cm}^3/s}=9\pi secs$
So, in $9\pi secs$ two cones are filled.
No. of cones that can be filled using 2 taps
= $\frac{3600}{9\pi }\times 2=254.77$ ($\because 1h=3600secs$)
Hence, in an hour 254 ice-cream cones can be filled.