1. What is the Volume of Cylinder Formula?

The volume of a cylinder given lateral surface area and height is calculated using the formula that relates these geometric properties. This provides an alternative method to calculate volume when lateral surface area and height are known instead of radius.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( V \) — Volume of the cylinder (m³)
• \( LSA \) — Lateral surface area of the cylinder (m²)
• \( h \) — Height of the cylinder (m)
• \( \pi \) — Mathematical constant pi (approximately 3.14159)

Explanation: This formula is derived from the relationship between lateral surface area, height, and volume of a cylinder.

3. Importance of Volume Calculation

Details: Calculating cylinder volume is essential in various engineering, architectural, and scientific applications where cylindrical containers or structures are involved.

4. Using the Calculator

Tips: Enter lateral surface area in square meters and height in meters. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is lateral surface area of a cylinder?
A: Lateral surface area is the area of the curved surface of the cylinder, excluding the top and bottom circular bases.

Q2: How is this formula derived?
A: The formula is derived from the standard volume formula V = πr²h and lateral surface area formula LSA = 2πrh by eliminating the radius variable.

Q3: What are the units for volume calculation?
A: Volume is typically measured in cubic meters (m³) when using metric units, or cubic feet/inches in imperial units.

Q4: Can this formula be used for any cylinder?
A: Yes, this formula applies to all right circular cylinders where the height is perpendicular to the circular bases.

Q5: What if I know the radius instead of lateral surface area?
A: If you know the radius, you can use the standard volume formula V = πr²h for direct calculation.