Find the surface area of the cylinder, and round to the

Question

nearest whole number.
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(1 point)
π
1,099 square centimeters
628 square centimeters
528 square centimeters
533.8 square centimeters
raduis of 5 and hight of 15

Answer 1

To find the surface area of a cylinder, you can use the formula:

\[ \text{Surface Area} = 2\pi r^2 + 2\pi rh \]

where:

• \( r \) is the radius of the cylinder
• \( h \) is the height of the cylinder

Given the radius \( r = 5 \) cm and height \( h = 15 \) cm, we can plug in these values:

1. Calculate the area of the two circular bases: \[ 2\pi r^2 = 2\pi (5)^2 = 2\pi (25) = 50\pi \]

2. Calculate the lateral surface area: \[ 2\pi rh = 2\pi (5)(15) = 150\pi \]

3. Now, add these two areas together to find the total surface area: \[ \text{Surface Area} = 50\pi + 150\pi = 200\pi \]

Now, using \( \pi \approx 3.14 \) to get a numerical value: \[ 200\pi \approx 200 \times 3.14 = 628 \]

Thus, the surface area of the cylinder is approximately \( 628 \) square centimeters.

Rounding to the nearest whole number confirms that the answer is:

628 square centimeters.