Question

Explain how to find the surface area of a can of fruit with a height of 80 mm and a diameter of 60 mm. Give the area in your explanation.​

Answer 1

`S=6600\pi \text{ mm}^2`

`S\approx 20724 \text{ mm}^2`

Explanation:

A can of fruit is geometrically a cylinder.

We are talking about the surface area of a cylinder:

`S=2\pi rh+2\pi r^2`

`\pi \approx 3.14`

`r: \text{radius}`

`h: \text{height}`

Factoring, we have:

`S=2\pi r (h+r)`

Calculating the surface area of the can of fruit:

`S=2\pi (30) (80+30)`

`S=2\pi (30) (110)`

`S=6600\pi`

`S\approx 20724 \text{ mm}^2`

Answer 2

A = 2(pi)radius(height) + 2(pi)radius squared.

So you basically take your diameter and divide it by 2 to get your radius then input it within this formula