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)`

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 = (22)/(7)` insert this into eq1.

`2* (22)/(7)* r = 22`

`(44)/(7) r = 22`

`r = (22)/((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 = (22)/(7) * (3.5)^(2) *10`

`V = 385cm^(2)`