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

✓

Answer

Correct option: D.

$25.344kg$ wt.

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

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