Answer
Find out the what is the volume of the cylinder .
To prove
Formula
[tex]Volume\ of\ oblique\ cylinder = \pi r^{2} h[/tex]
where r is the radius and h is the height of the cylinder.
As given
An oblique cylinder has a radius of 10 units and slant length of 26 units.
slant height² = radius² + height²
put the value in the formula
26² - 10² = height ²
676 - 100 = height²
576 = height²
[tex]\sqrt{576} = height[/tex]
24 units = height
[tex]\pi =3.14[/tex]
put in the above formula
[tex]Volume\ of\ oblique\ cylinder = 3.14\times 10\times 10\times 24[/tex]
= 7536 units ²
Therefore the volume of the oblique cylinder is 7536 units ².
