# The thickness of a hollow wooden cylinder is 2cm . it is 35 cm long and its inner radius is 12cm . Find the volume of the wood required to make the cylinder , assuming it is open at either end .

Solution:  We have ,

$r=$  Inner radius of the cylinder $=12cm$

Thickness of the cylinder $=2cm$

$\therefore$              $R=$ Outer radius of of the cylinder $=(12+2)cm=14cm$

$h=$ Height of the cylinder $=35 cm$

$\therefore$                 Volume of the wood $= \pi(R^2-r^2)h$

$=\frac{22}{7}\times \left \{ (14)^2-(12)^2 \right \}\times 35 cm^3$

$=\frac{22}{7}\times(14+12)\times (14-12)\times 35 cm^3$

$=22\times 26\times 2 \times 5=5720cm^3$

## Most Viewed Questions

### Preparation Products

##### Knockout JEE Main (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-
##### Knockout JEE Main (Nine Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 13999/- ₹ 12499/-
##### Knockout NEET (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-
##### Knockout NEET (Nine Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 13999/- ₹ 12499/-