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

Answer:

A.2,400π cubic units

Step-by-step explanation:

Answer 2

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

Step-by-step explanation:

Given: Radius of cylinder = 10 units

Slant height = 26 units

Now, height of the cylinder is given :-

$\text{Height}=\sqrt{26^2-10^2}=24\ \text{units}$

Now, by Cavalieri's Principle ,

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

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