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)

Respuesta :

it needs to be at least 9

Answer:

[tex]3\pi[/tex]

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.

[tex]A_{cylinder}=2\pi r^2+2\pi rh[/tex]

putting the values as [tex]r=1[/tex] and [tex]h=1[/tex], we get

[tex]A_{cylinder}=2\pi (1)^2+2\pi (1)(1)=2\pi +2\pi =4\pi[/tex]

Volume of the cylinder will be,

[tex]V_{cylinder}=\pi r^2h=\pi (1)^2(1)=\pi[/tex]

The difference will be [tex]4\pi-\pi=3\pi[/tex]

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