Question

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

Answer 1

Answer:

The radius of the oblique cylinder is 4 cm.

Step-by-step 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  

=>$\text{base area of the cylinder} \times \text{height of the cylinder}$------------------------------(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)

$192 \pi = \pi r^2 \times height$

$192 \pi = \pi \times r^2 \times height$

$192 \pi = \pi \times r^2 \times 12$

$\frac{192 \pi}{ \pi \times 12}= r^2$

$\frac{192}{12}= r^2$

$16= r^2$

$r^2 =16$

$r =\sqrt{16}$

r=4