Answer: A. [tex]\text{Volume}=2400\pi \text{cubic units.}[/tex]
Step-by-step explanation:
Given: Radius of cylinder = 10 units
Slant height = 26 units
Now, height of the cylinder is given :-
[tex]\text{Height}=\sqrt{26^2-10^2}=24\ \text{units}[/tex]
Now, by Cavalieri's Principle ,
[tex]\text{Volume}=\pi r^2 h[/tex], h is the height of the cylinder.
[tex]\text{Volume}=\pi (10)^2 (24)=2400\pi \text{ cubic units.}[/tex]
