Question

SA = 2rr2 + 2nrh (Use 3.14 for .) How much metal is needed to create a cylindrical can with a heart of 5 inches and a base diameter of 3 inches? square inches Do NOT round your answer.

Answer 1

61.23 square inches

Explanation:

We will know the necessary metal by calculating the surface area, which is given by the following formula:

`SA=2\cdot\pi\cdot r^2+2\cdot\pi\cdot r\cdot h`

The formula is based on the radius, therefore we calculate the radius that is equivalent to half the diameteum and then we replace:

`\begin{gathered} r=(d)/(2)=(3)/(2)=1.5 \\ \text{replacing} \\ SA=2\cdot3.14\cdot1.5^2+2\cdot3.14\cdot1.5\cdot5 \\ SA=14.13+47.1 \\ SA=61.23 \end{gathered}`