Question

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

3π
2π
π

Answer 1

i think its 2pi hope it helps

Answer 2

The difference in the volume of cylinder and total surface area of cylinder =
`3\pi`.

The number of sq units of total area exceeds the number of cu.units in the volume
`3\pi`.

Explanation:

Given radius of cylinder =1 unit

Height of cylinder= 1 unit

We know that formula of volume of cylinder =
`\pi r^(2) h`

Where r= Radius of the cylinder

h= Height of the cylinder

By using this formula we can find the volume of cylinder

volume of cylinder =
`\pi * 1* 1` =
`\pi cubic units.</p><p>Formula of total surface area of cylinder:</p><p>  Total surface area of cylinder = [tex]2\pi r(r+h)`

By using this formula we can find total surface area of cylinder

Total surface area of cylinder =
`2\pi * 1(1+1)[/tex}</p><p> Total surface area of cylinder=[tex]4\pi` sq units .

Difference between volume of cylinder and total surface area of cylinde=
`4\pi -\pi`=
`3\pi`

Total surface area of cylinder - volume of cylinder=
`3\pi`

Total surface area of cylinder =
`3\pi` + volume of cylinder

Hence, the number of sq units of total surface area exceed the number of cu.units in the volume by
`3\pi`.