Question

An oblique cylinder has a radius of 10 units and slant

Answer 1

Answer:

$2,400\pi$ cubic units

Step-by-step explanation:

Given the cylinder has a base radius of 10 units.

And slant length of 26 units.

The formula for volume of an oblique cylinder is $\pi r^2h$

Where $r$ is the radius and $h$ is the height of cylinder.

We will now find height of cylinder using following equation.

$(slant\ length)^2=(radius)^2+(height)^2$

$26^2=10^2+(height)^2\\\\676=100+(height)^2\\\\676-100=(height)^2\\\\576=(height)^2\\\\\sqrt{576}=\sqrt{(height)^2}\\ \\24=height$

Now, the volume of cylinder would be

$=\pi r^2h\\=\pi(10)^2\times24\\=\pi 100\times24\\=2400\pi$cubic units