Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
Rain water, which falls on a flat rectangular surface of length 6 m and breadth 4 m is transferred into a cylindrical vessel of internal radius 20 cm. What will be the height of water in the cylindrical vessel if a rainfall of 1 cm has fallen?
(a)188 cm
(b)189 cm
(c)190 cm
(d)191 cm
Answer
Answer (as printed): D
Explanation
Volume of rain water $=(600 \times 400 \times 1) \mathrm{cm}^{3}=240000 \mathrm{cm}^{3}$. Let the height of water in the cylindrical vessel be $h$ cm. Then, $\frac{22}{7} \times 20 \times 20 \times h=240000 \Rightarrow h=\frac{240000 \times 7}{22 \times 20 \times 20}=\frac{2100}{11}$ $$=190.9 \mathrm{cm} \approx 191 \mathrm{cm} .$$