Question

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

A 2,400π cubic units
B 2,500π cubic units
C 2,600π cubic units
D 2,700π cubic units

Answer 1

A.2,400π cubic units

Explanation:

Answer 2

Answer: A.
`\text{Volume}=2400\pi \text{cubic units.}`

Explanation:

Given: Radius of cylinder = 10 units

Slant height = 26 units

Now, height of the cylinder is given :-

`\text{Height}=√(26^2-10^2)=24\ \text{units}`

Now, by Cavalieri's Principle ,

`\text{Volume}=\pi r^2 h`, h is the height of the cylinder.

`\text{Volume}=\pi (10)^2 (24)=2400\pi \text{ cubic units.}`