Find the surface area of the figure.Assume the cylinder is closed at both ends. Use 3.14 for π and round to the nearest hundredth, if necessary.

Question

asked Apr 3, 2023 141k views

2 Answers

Sukru · Answer 1 · 2023-04-05T23:59:25+0000

Assuming the cylinder is closed at both ends, the surface area of the figure is equal to 150.72 square miles.

In Mathematics and Geometry, the surface area of a cylinder can be calculated by using this mathematical equation (formula):

Surface area of a cylinder, SA = 2πrh + 2π
r^2

Where:

By substituting the given parameters into the formula for the surface area (SA) of a cylinder, we have the following;

Surface area of a cylinder, SA = 2πrh + 2π
r^2

Surface area of a cylinder, SA = (2 × 3.14 × 3 × 5) + 2 × 3.14 ×
3^2

Surface area of a cylinder, SA = 94.2 + 56.52

Surface area of a cylinder, SA = 150.72 square miles.

Loonis · Answer 2 · 2023-04-08T23:29:02+0000

The surface area of a cylinder is the sum of the lateral area and the area of both ends (or lids).

The surface area can be calculated with the formula:

$SA=2\pi r^2+2\pi rh$

Where r is the radius and h is the height.

The cylinder drawn in the figure has r=3 mi and h=5 mi.

Applying the formula:

$\begin{gathered} SA=2\cdot3.14\cdot3^2+2\cdot3.14\cdot3\cdot5 \\ SA=150.72mi^2 \end{gathered}$

The surface area of the figure is 150.72 square mi