https://file.aiquickdraw.com/mathbot/file/1726625489255trdnt2el.jpg

To calculate the surface area of a cylinder, the formula is:

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

Where:
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder,
- \( \pi \approx 3.1416 \).

From the image:
- Radius \( r = 4 \, \text{m} \),
- Height \( h = 13 \, \text{m} \).

Let's calculate the surface area now.

\[
\text{Surface Area} = 2\pi \times 4 \, (13 + 4)
\]
\[
= 2\pi \times 4 \times 17
\]
\[
= 8\pi \times 17
\]
\[
= 136\pi
\]
\[
\approx 136 \times 3.1416
\]

I'll compute this value.The surface area of the cylinder is approximately \( 427.26 \, \text{m}^2 \).

Would you like more details or have any questions?

Here are 5 related questions for further exploration:
1. How would the surface area change if the height were doubled?
2. What is the lateral surface area of the cylinder (without the top and bottom)?
3. How do you calculate the volume of the same cylinder?
4. How does the surface area formula for a cylinder relate to that of a sphere?
5. What happens to the surface area if the radius is halved but the height stays the same?

**Tip:** The surface area formula includes both the lateral area and the area of the two circular bases of the cylinder!

Calculate the surface area of the cylinder with radius 4 m and height 13 m.

Learn how to calculate the surface area of a cylinder with a radius of 4 meters and a height of 13 meters. Use the formula Surface Area = 2πr(h + r) to solve this problem. Suitable for Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation