Question

an oblique cylinder has a radius of 10 units and slant length of 26 units. what is the volume of the cylinder? 2,400π cubic units 2,500π cubic units 2,600π cubic units 2,700π cubic units

Explanation:

Step1: Find cylinder height

We use the Pythagorean theorem: the slant length, radius, and height form a right triangle. Let $h$ = height, $r=10$, slant length $=26$.
$$h = \sqrt{26^2 - 10^2} = \sqrt{676 - 100} = \sqrt{576} = 24$$

Step2: Calculate cylinder volume

Volume formula for any cylinder: $V = \pi r^2 h$. Substitute $r=10$, $h=24$.
$$V = \pi \times 10^2 \times 24 = \pi \times 100 \times 24$$

Answer:

2,400π cubic units