Question

A cylindrical pipe is made from a metal sheet of length 88 cm and breadth 20 cm. What is the volume of this pipe?

• A. $2800$ ${cm}^3$
• B. $12320$ ${cm}^3$
• C. $13202$ ${cm}^3$
• D. $13220$ ${cm}^3$

Answer 1

The correct option is A $2800$ ${cm}^3$

We have,

Length $l=88cm.$

Breadth$b=20cm.$

Volume $=?$

Volume of cylindrical pipe $=\pi r^{2}h$

We know that,

$circumfrance=Breadth=2\pi r$

$2\pi r=20$

$\pi r=10$

$r=\frac{10}{\pi }$

$r=\frac{10}{\frac{22}{7}}$

$r=\frac{70}{22}$

$r=\frac{35}{11}cm.$

Then,

Volume of cylindrical pipe $V=\pi r^{2}h$

$V=\frac{22}{7}\times \frac{35}{11}\times \frac{35}{11}\times 88$

$V=2\times 5\times 35\times 8$

$V=80\times 35$

$V=2800c{m}^3$

Hence, this is the answer.