Question

Diameter =4 cm, height= 3.6cm

Answer 1

Part 1)
`LA=14.4\pi\ cm^2`

Part 2)
`V=14.4\pi\ cm^3`

Explanation:

The complete question is

Find the lateral area and the volume of a cylinder with Diameter =4 cm, height= 3.6 cm

Part 1) Find the lateral area

we know that

The lateral area of a cylinder is equal to

`LA=\pi Dh`

we have

`D=4\ cm\\h=3.6\ cm`

substitute

`LA=\pi (4)(3.6)\\LA=14.4\pi\ cm^2`

Part 2) Find the volume

The volume of a cylinder is equal to

`V=\pi r^(2)h`

we have

`r=4/2=2\ cm` ----> the radius is half the diameter

`h=3.6\ cm`

substitute

`V=\pi (2)^(2)(3.6)\\V=14.4 \pi\ cm^3`