Question

A well of height 30 m and radius 14 m is dug out. The sand extracted is used to make a platform of length 10 m, breadth 14 m and height H. What is the value of H?

• A. 130 m
• B. 150 m
• C. 180 m
• D. 132 m

Answer 1

The correct option is D 132 m

Volume of the well = Volume of the platform
Now, volume of the well = volume of the cylinder
$=\pi r^{2}h$
$=\frac{22}{7}\times (14{)}^2\times 30=18480m^2$
Volume of the platform = volume of cuboid
$=l\times b\times h=10\times 14\times H=140H{m}^2$

$\because$ volume of the well = volume of the platform
$\Rightarrow 18480m^2=140H{m}^2$
$\Rightarrow H=\frac{18480}{140}$
$\Rightarrow H=132m$