Question

Three cylinders have a volume of 2826cm squared. Cylinders a has a height of 900cm cylinders b has a height of 225 cm cylinders c has height of 100cm find the radius of each cylinders use 3.14 as an approximate for ?

Answer 1

Part a) The radius of cylinder a is
`r=1\ cm`

Part b) The radius of cylinder b is
`r=2\ cm`

Part c) The radius of cylinder c is
`r=3\ cm`

Explanation:

we know that

The volume of a cylinder is equal to

`V=\pi r^(2)h`

solve for r

`r=\sqrt{(V)/(\pi h)}`

case a)

we have

`V=2,826\ cm^(3)`

`h=900\ cm`

substitute the values

`r=\sqrt{(2,826)/((3.14)(900))}=1\ cm`

case b)

we have

`V=2,826\ cm^(3)`

`h=225\ cm`

substitute the values

`r=\sqrt{(2,826)/((3.14)(225))}=2\ cm`

case c)

we have

`V=2,826\ cm^(3)`

`h=100\ cm`

substitute the values

`r=\sqrt{(2,826)/((3.14)(100))}=3\ cm`