Question

determine the amount of steel needed for the can of tomato paste. use the π button on the calculator. round to the nearest tenth of a unit. the surface area of the can is approximately 25.4 in. need help with this question? incorrect 2 tries left. please try again.

Explanation:

Step1: Recall surface - area formula for cylinder

The surface - area formula of a cylinder is $S = 2\pi r^2+2\pi rh$, where $r$ is the radius and $h$ is the height. Given the diameter $d = 1.9$ in, then the radius $r=\frac{d}{2}=\frac{1.9}{2}=0.95$ in and the height $h = 3.3$ in.

Step2: Calculate the two parts of the surface - area formula

First, calculate $2\pi r^2$:
$2\pi r^2=2\pi(0.95)^2=2\pi\times0.9025\approx2\times3.14\times0.9025 = 5.6677$
Second, calculate $2\pi rh$:
$2\pi rh=2\pi\times0.95\times3.3=6.27\pi\approx6.27\times3.14 = 19.6878$

Step3: Sum up the two parts

$S=2\pi r^2 + 2\pi rh\approx5.6677+19.6878=25.3555\approx25.4$ in²

Answer:

$25.4$ in²