Question

A piece of paper has a rectangle ABCD in which AB= 10 cm and BC = 22 cm , it was folded to form a right circular cylinder such that AB is cincident to DC . Find the volume of the resulted cylinder

Answer 1

Answer:  $385cm^{2}$

Step-by-step explanation:

given data:

AB= 10 cm.

BC = 22 cm.

volume of a cylinder V = $\pi r^{2} h$

h = 10.

solution

base of the circumference = 22cm

circumference of a circle = $2\pi r$

r = radius is unknown.

$2\pi r = 22$ .........................eq1

where $\pi = \frac{22}{7}$ insert this into eq1.

$2* \frac{22}{7}* r = 22$

$\frac{44}{7} r = 22$

$r = \frac{22}{\frac{44}{7} }$

$r= 3.5cm$

next we solve for the volume of the cylinder.

recall   $V = \pi r^{2} h$

h = 10cm

r = 3.5cm

$V = \frac{22}{7} * (3.5)^{2} *10$

$V = 385cm^{2}$