Question

Find the radius of the oblique cylinder (PLEASE HELP EXTRA POINTS)

Answer 1

The radius of the oblique cylinder is 4 cm.

Explanation:

Given:

The volume of the oblique cylinder =
`192 \pi cm^3`

Height of the cylinder = 12 cm

To Find:

Radius of the oblique cylinder = ?

Solution:

we know that the volume of the oblique cylinder

=>
`\text{base area of the cylinder} * \text{height of the cylinder}`------------------------------(1)

where base area of the cylinder is the area of the circle

so area of the circle = base area

`\pi r^2` = base area---------------(2)

Substituting (2) in (1)

`192 \pi = \pi r^2 * height`

`192 \pi = \pi * r^2 * height`

`192 \pi = \pi * r^2 * 12`

`(192 \pi)/( \pi * 12)= r^2`

`(192)/(12)= r^2`

`16= r^2`

`r^2 =16`

`r =√(16)`

r=4