Question

A building is in the form of a cuboid with an overhead tank in the form of a cylinder such that the tank spans halfway across the length of the building. Find the volume of the entire structure if the dimensions of the building is $20m\times 10m\times 20m$ and the height of the tank is 5m.

• A. $4000+500\pi$
• B. $4000+125\pi$
• C. $4000+250\pi$
• D. $4400+250\pi$

Answer 1

The correct option is B

$4000+125\pi$

The tank spans half the length of the building.

So, diameter of the tank is 10m and radius is 5m.

So volume of the structure = volume of cuboid (building) + volume of cylinder(tank)

= $(20\times 10\times 20)+(\pi \times (5{)}^2\times 5)$

= $4000+125\pi$