Statement-1 (A): conical bessel of base radius 5 cm and height 24… - Vidyadip

MCQ

Statement-1 (A): $\Lambda$ conical bessel of base radius 5 cm and height 24 cm is full of water. If the turter is ampited intert eylimitrical nessel of internal radius 10 cm . then the water level rises by 2 cm .
Statement-2 (R): Volumes of a cylinder and a cone of hase radius $r$ and height $h$ are given bu $V_1=\pi r^2 h$ and $V_2=\frac{1}{3} \pi r^2 h$.

✓
Statement-1 and Statement-2 are True; Statement-2 is a correct explanation for Statement-1.
B
Statement-1 and Statement-2 are True; Statement-2 is not a correct explanation for Statement-1.
C
Statement-1 is True, Statement-2 is False.
D
Statement-1 is False, Statement-2 is True.

✓

Answer

Correct option: A.

Statement-1 and Statement-2 are True; Statement-2 is a correct explanation for Statement-1.

(a)
We have,
$r_1=$ radius of the conical vessel $=5 cm, h=$ height of the conical vessel $=24 cm$ and, $r_2=$ radius of the cylindrical vessel $=10 cm$.
Suppose water level rises upto the height $h$ in the cylindrical vessel. Clearly, Volume of water in conical vessel = Volume of water in cylindrical vessel.
$\frac{1}{3} \pi \times 5^2 \times 24=\pi \times 10^2 \times h \Rightarrow h=2 cm$
Thus, statement -1 is true. Clearly, statement- 2 is also true and it is a correct explanation for statement-1.

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