What is the surface area of this cylinder?

Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

9 mm
7 mm

 square millimeters


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

\[
\text{Surface Area} = 2\pi r(h + r)
\]

where:
- \( r \) is the radius of the cylinder's base.
- \( h \) is the height of the cylinder.
- \( \pi \) is approximately 3.14.

Given:
- \( r = 7 \, \text{mm} \)
- \( h = 9 \, \text{mm} \)

Let's calculate the surface area:

\[
\text{Surface Area} = 2 \times 3.14 \times 7 \times (9 + 7)
\]

\[
\text{Surface Area} = 2 \times 3.14 \times 7 \times 16
\]

\[
\text{Surface Area} = 2 \times 3.14 \times 112
\]

\[
\text{Surface Area} = 703.36 \, \text{square millimeters}
\]

So, the surface area of the cylinder is approximately **703.36 square millimeters**.

Would you like more details, or do you have any questions?

Here are 5 related questions:
1. How do you find the volume of a cylinder?
2. What is the formula for the lateral surface area of a cylinder?
3. How does changing the radius affect the surface area of a cylinder?
4. What would be the surface area if the radius was doubled?
5. How can you find the surface area of a hollow cylinder?

**Tip:** Remember, the surface area includes both the lateral surface and the areas of the two circular bases.

What is the surface area of this cylinder? Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth. 9 mm 7 mm square millimeters

Learn how to calculate the surface area of a cylinder with a radius of 7 mm and a height of 9 mm using the formula 2πr(h + r). This step-by-step solution is perfect for students in Grades 6-8.

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