The rain water from a roof 22 m × 20 m drains into a cylindrical vessel having a diameter of 2 m and height 3.5 m. If the vessel is just full, then the rainfall (in cm) is:
A. 2
B. 2.5
C. 3
D. 4.5
Answer: Option B
Solution(By Examveda Team)
Volume of vessel = Volume of roofπ × r2 × h = 22 × 20 × x (where x is rainfall in cm)
$$\eqalign{ & \Rightarrow \frac{{22}}{7} \times \frac{{100 \times 100 \times 350}}{{22 \times 20 \times 100 \times 100}} = {\text{x}} \cr & \Rightarrow {\text{x}} = 2.5{\text{ cm}} \cr} $$
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