Question

You are working for a company that creates tubes that measure 10 cm long and have a diameter of 6 cm. The tubes need to be cut just right. The company fired all of its math people so they do not know how to calculate the size of the tube needed. Please calculate the surface area needed for the tube. Use 3.14 for pi. *

Answer 1

`A= 2\pi (3cm)^2 +1 2\pi (3cm)(10 cm)= 18 \pi + 60\pi = 78 \pi cm^2`

And replacing the value of
`\pi =3.14` we got:

`A = 78*3.14 cm^2= 244.92 cm^2`

Explanation:

For this case we have the long who represent the height 10 cm and the diameter is 6cm. So then the radius is given by:

`r = (D)/(2)= (6cm)/(2)= 3cm`

And the surface area for a cylinder is given by this formula:

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

And replacing the info given we got:

`A= 2\pi (3cm)^2 +1 2\pi (3cm)(10 cm)= 18 \pi + 60\pi = 78 \pi cm^2`

And replacing the value of
`\pi =3.14` we got:

`A = 78*3.14 cm^2= 244.92 cm^2`