Question

Find the surface area of a cylinder that has a height of 15 meters and a diameter of 20 meters. Use 3.14
for π
.(1 point)
_ m^2

Answer 1

To find the surface area \( S \) of a cylinder, you can use the formula:

\[
S = 2\pi r^2 + 2\pi rh
\]

where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder.

First, we need to find the radius \( r \) from the diameter. The diameter is given as 20 meters, so the radius is:

\[
r = \frac{diameter}{2} = \frac{20}{2} = 10 \text{ meters}
\]

Now we can plug in the values for \( r \) and \( h \) into the surface area formula. The height \( h \) is given as 15 meters:

\[
S = 2\pi (10)^2 + 2\pi (10)(15)
\]

Now substitute \( \pi \) with 3.14:

\[
S = 2(3.14)(100) + 2(3.14)(10)(15)
\]

Calculating the first term:

\[
2(3.14)(100) = 628 \text{ m}^2
\]

Now calculate the second term:

\[
2(3.14)(10)(15) = 2(3.14)(150) = 942 \text{ m}^2
\]

Now, add the two parts together:

\[
S = 628 + 942 = 1570 \text{ m}^2
\]

Thus, the surface area of the cylinder is

\[
\boxed{1570} \text{ m}^2
\]