https://file.aiquickdraw.com/mathbot/file/17270351323604njmwdnc.jpg

To calculate the volume of a cylinder, we use the formula:

\[
V = \pi r^2 h
\]

where:
- \( r \) is the radius of the cylinder (5.4 cm),
- \( h \) is the height of the cylinder (19.9 cm), and
- \( \pi \) is approximately 3.14159.

Let me calculate the volume.The volume of the cylinder is \( 1823.0 \, \text{cm}^3 \), correct to 1 decimal place.

Would you like further details or have any questions?

Here are some related questions for further practice:
1. What is the surface area of this cylinder?
2. How would the volume change if the height were doubled?
3. If the radius is halved, how does that affect the volume?
4. What is the lateral surface area of the cylinder?
5. Can you derive the formula for the volume of a cylinder from basic principles?

**Tip:** Always make sure the units are consistent (e.g., cm, m) when calculating volume or surface area!

A cylinder has a radius of 5.4 cm and height of 19.9 cm, as shown in the diagram. Work out the volume of the cylinder. Give your answer correct to 1 decimal place.

Learn how to calculate the volume of a cylinder with a radius of 5.4 cm and height of 19.9 cm. This problem demonstrates the application of the formula V = πr²h. The solution is rounded to 1 decimal place, and this exercise is ideal for students in Grades 8-10 studying geometry and 3D shapes.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation