A conical vessel whose internal depth is 42 cm and internal diame… - Vidyadip

MCQ

A conical vessel whose internal depth is $42\ cm$ and internal diameter is $48\ cm$ is full of water. If $1$ cubic dm of water weight $1\ kg$ wt, then the weight of water in the conical vessel is:

A
$26.5$ kg wt.
B
$25.5$ kg wt.
C
$25.65$ kg wt.
✓
$25.344$ kg wt.

✓

Answer

Correct option: D.

$25.344$ kg wt.

Volume of conical vessel $=\frac{1}{3}\times\pi\times\text{r}^2\times\text{h}$
$=\frac{1}{3}\times\frac{22}{7}\times24\times24\times42$
$= 25344\ cm^3$
$= 25.344\ dm^3 (1\ dm^3 =1000\ cm^3)$
$= 25.344\ Kg\ wt. (1\ kg - wt = 1\ dm^3)$

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