Question

Steve has a propane tank that needs two coats of special rust prevention paint. He needs to cover the entire tank twice, including both ends. How many total square feet will he cover? Radius =5.3 ft, length of tank = 13 ft. Use the r button on your calculator.

Answer 1

Given:

`\text{ Radius}=5.3\text{ ft}`

and

`\text{ Length}=13\text{ ft}`

Required:

We have to find the total square feet that will steven need to cover the entire tank twice.

Step-by-step explanation:

To find the total square feet that will steven need to cover the entire tank we have to find the surface area of the tank.

Since the tank is in cylindrical shape we use the formula of total surface area for a cylinder.

The formula of the total surface area of a cylinder is

`2\pi r(r+h)\text{ sq.unit}`

Where r is the radius and h is the length of the cylinder.

Hence the total surface area of the propane tank is

`\begin{gathered} 2\pi*5.3(5.3+13) \\ =2\pi*5.3*18.3 \end{gathered}`
`=609.097\text{ sq.ft}`

Since he wants to cover the entire tank twice so we have to multiply the total surface area by 2 in order to get the required answer.

Hence the total square fet reqyuired he needs to cover the entire tank twice is

`\begin{gathered} 2*609.0972 \\ =1218.19\text{ sq.ft} \end{gathered}`

Final answer:

Hence the final answer is

`1218.19\text{ sq.ft}`