Question

Which is the correct first step in finding the area of the base of a cylinder with a volume of 26 pi cubic meters and a height of 6.5 meters?

Answer 1

Answer:C

Step-by-step explanation:If u don't speak gibberish then you would understand this

Answer 2

The formula of a volume of a cylinder:

`V=\pi r^2H`

r - radius

H - height

We have

`V=26\pi m^3\\\\H=6.5\ m`

The base of a cylinder is a circle. The formula of an area of a circle:

`A_O=\pi r^2`

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:

`\pi r^2(6.5)=26\pi`

Solve it for r:

`\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`

The area of a base:

[tx]A_B=\pi(2^2)=4\pi\ m^2[/tex]