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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?

User Alphageek
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Answer:C

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

User Gmr
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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]

User Viijay Ijardar
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