Question

An oblique cylinder has a radius of 10 units and slant length of 26 units. What is the volume of the cylinder?

Answer 1

(a/1) 2400 pi cubed is correct

Answer 2

Answer: $2400\pi\ units^3\text{ or }7536\ units^3$

Step-by-step explanation:

Given: The slant height of oblique cylinder (l)=26 units

The radius of oblique cylinder (r)=10 units

Let h be the height of the cylinder, then we have

$h=\sqrt{l^2-r^2} \\\\\Rightarrow h=\sqrt{(26)^2-(10)^2} \\\\\Rightarrow h=\sqrt{676-100} \\\\\Rightarrow h=\sqrt{576} \\\\\Rightarrow h=24\ units$

Now, the volume of oblique cylinder is given by :-

$V=\pi r^2h\\\\\Rightarrow V=\pi(10)^2(24)\\\\\Rightarrow V=2400\pi\ units^3$

If we substitute $\pi=3.14$, then we get

Volume of oblique cylinder=$2400\times3.14=7536\ units^3$