The formula of a volume of a cylinder:
[tex]V=\pi r^2H[/tex]
r - radius
H - height
We have
[tex]V=26\pi m^3\\\\H=6.5\ m[/tex]
The base of a cylinder is a circle. The formula of an area of a circle:
[tex]A_O=\pi r^2[/tex]
We need a length of a radius r. Therefore the correct first step in finding the area of a base of a cylinder is find the length of radius of circle in a base.
From the formula of a volume of a cylinder and given the volume and the height we have the equation:
[tex]\pi r^2(6.5)=26\pi[/tex]
Solve it for r:
[tex]\pi r^2\cdot6.5=26\pi\qquad\text{divide both sides by}\ \pi\\\\6.5r^2=26\qquad\text{divide both sides by 6.5}\\\\r^2=4\to r=\sqrt4\\\\r=2\ m[/tex]
The area of a base:
[tx]A_B=\pi(2^2)=4\pi\ m^2[/tex]
Answer:C
Step-by-step explanation:If u don't speak gibberish then you would understand this
