Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
Ice cream completely filled in a cylinder of diameter 35 cm and height 32 cm is to be served by completely filling identical disposable cones of diameter 4 cm and height 7 cm . The maximum number of persons that can be served this way is
(a)950
(b)1000
(c)1050
(d)1100
Answer
Answer (as printed): C
Explanation
Volume of cylinder $=\left(\pi \times \frac{35}{2} \times \frac{35}{2} \times 32\right) \mathrm{cm}^{3}=9800 \pi \mathrm{cm}^{3}$. Volume of 1 cone $=\left(\frac{1}{3} \times \pi \times 2 \times 2 \times 7\right) \mathrm{cm}^{3}=\frac{28 \pi}{3} \mathrm{cm}^{3}$. ∴ Number of persons that can be served $$=\left(9800 \pi \times \frac{3}{28 \pi}\right)=1050 .$$