Find the difference in the volume and total area of a cylinder with both a radius and height of 1. r = 1, h = 1 The number of sq units of the total area exceeds the number of cu. units in the volume by


3 π

or

π


(which one? i really need help! if correct, will be marked as brainliest)

Verified Answer :

it needs to be at least 9

Answer:

\(3\pi\)

Step-by-step explanation:

Given the cylinder has radius of 1 and height of 1.

We know that, the surface area of a cylinder is the sum of the area of both the bases and the curved surface.

\(A_{cylinder}=2\pi r^2+2\pi rh\)

putting the values as \(r=1\) and \(h=1\), we get

\(A_{cylinder}=2\pi (1)^2+2\pi (1)(1)=2\pi +2\pi =4\pi\)

Volume of the cylinder will be,

\(V_{cylinder}=\pi r^2h=\pi (1)^2(1)=\pi\)

The difference will be \(4\pi-\pi=3\pi\)