How to find the radius of a cylinder given the surface area and height

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Use formulas to find the height of a cylinder, given the volume or surface area.

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Heights of Cylinders Given Surface Area

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Circular Cylinder Shape

Calculator Use

This online calculator will calculate the various properties of a cylinder given 2 known values. It will also calculate those properties in terms of PI π. This is a right circular cylinder where the top and bottom surfaces are parallel but it is commonly referred to as a "cylinder."

Units: Note that units are shown for convenience but do not affect the calculations. The units are in place to give an indication of the order of the results such as ft, ft2 or ft3. For example, if you are starting with mm and you know r and h in mm, your calculations will result with V in mm3, L in mm2, T in mm2, B in mm2 and A in mm2.

Below are the standard formulas for a cylinder. Calculations are based on algebraic manipulation of these standard formulas.

Cylinder Formulas in terms of r and h:

• Calculate volume of a cylinder:
  • V = πr2h
• Calculate the lateral surface area of a cylinder (just the curved outside)**:
  • L = 2πrh
• Calculate the top and bottom surface area of a cylinder (2 circles):
  • T = B = πr2
• Total surface area of a closed cylinder is:
  • A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

** The area calculated is only the lateral surface of the outer cylinder wall. To calculate the total surface area you will need to also calculate the area of the top and bottom. You can do this using the circle calculator.

Cylinder Calculations:

Use the following additional formulas along with the formulas above.

• Given radius and height calculate the volume, lateral surface area and total surface area.
  Calculate V, L, A | Given r, h
  • use the formulas above
• Given radius and volume calculate the height, lateral surface area and total surface area.
  Calculate h, L, A | Given r, V
  • h = V / πr2
• Given radius and lateral surface area calculate the height, volume and total surface area.
  Calculate h, V, A | Given r, L
  • h = L/2πr
• Given height and lateral surface area calculate the radius, volume and total surface area.
  Calculate r, V, A | Given h, L
  • r = L/2πh
• Given height and volume calculate the radius, lateral surface area and total surface area.
  Calculate r, L, A | Given h, V
  • $r = √( V / πh )

'Radius of a Cylinder Calculator' is an online tool that helps to calculate the radius of a cylinder.

What is Radius of a Cylinder Calculator?

Online radius of a cylinder calculator helps you to calculate the Radius of a Cylinder in a few seconds.

Radius of a Cylinder Calculator

How to Use Radius of a Cylinder Calculator?

Please follow the below steps to find the radius of a cylinder:

• Step 1: Enter the volume of the cylinder in the given input box.
• Step 2: Enter the height of the cylinder in the given input box.
• Step 3: Click on the "Calculate" button to find the radius of a cylinder.
• Step 4: Click on the "Reset" button to clear the fields and find the radius of a cylinder for different values.

How to Find Radius of a Cylinder?

The cylinder is defined as a three-dimensional solid figure which consists of two circular bases connected with two parallel lines. From the volume of cylinder formula, we can find the radius of the cylinder. 

The volume of a cylinder is the capacity of the cylinder or the measure of the amount of space it occupies. It is calculated with the help of the formula, V = πr2h

The radius of a cylinder(r) = √(V / π × h), where V is the volume of a cylinder, h is the height of the cylinder, and π(Pi) is a mathematical constant with an approximate value of 3.14.

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Solved Examples on Radius of a Cylinder Calculator

Example 1:

Find the radius of a cylinder whose volume is 100 cubic units and the height of the cylinder is 5 units?

Solution:

The radius of a cylinder(r) = √(V / π × h)

= √(100 / π × 5)

= 2.523 units

Therefore, the radius of a cylinder is 2.523 units.

Example 2:

Find the radius of a cylinder whose volume is 300 cubic units and the height of the cylinder is 3 units?

Solution:

The radius of a cylinder(r) = √(V / π × h)

= √(300 / π × 3)

= √(100/π)

= 5.639

Therefore, the radius of a cylinder is 5.639 units.

Example 3:

Find the radius of a cylinder whose volume is 500 cubic units and the height of the cylinder is 9 units?

Solution:

The radius of a cylinder(r) = √(V / π × h)

= √(500 / π × 9)

= 4.205 units

Therefore, the radius of a cylinder is 4.205 units.

Similarly, you can try the calculator to determine the radius of a cylinder with the following dimensions:

1) Volume of cylinder = 144 cubic units, height of a cylinder = 7 units

2) Volume of cylinder = 169 cubic units, height of a cylinder = 12 units

☛ Related Articles:

• Cylinder
• Volume of cylinder

☛ Math Calculators:

How do you find the radius of a cylinder from the height?

How do you find the radius when given the surface area?