Base Area of Cylinder
The base area of a cylinder can be defined as the total space covered by a flat surface of the base of the cylinder. The total surface area of a cylinder can be calculated if we calculate the area of the two bases and the area of the curved surface. Here in this topic, we will discuss what is the area of the base and how to calculate this area which will be beneficial in calculating the total surface area of the cylinder as well as the volume of the cylinder.
| 1. | What is Base Area of Cylinder? |
| 2. | Base Area of Cylinder Formula |
| 3. | Calculation of Base Area of Cylinder |
| 4. | FAQs on Base Area of Cylinder |
What is the Base Area of Cylinder?
The base area of a cylinder can be defined as the amount of space covered by a flat surface of the base of the cylinder. The base area of the cylinder is actually an area of a circle since the base of the cylinder is a circle. A cylinder is a three-dimensional solid figure which consists of two circular bases connected with a curved face. It is measured as the "number of" square units (square centimeters, square inches, square feet, etc.)
Base Area of Cylinder Formula
The formula of the base area of the cylinder is used to find the area occupied by the base of the cylinder within its boundary. The base area of the cylinder is obtained by multiplying the square of its radius to π. Thus, the formula for the base area of the cylinder, with a radius is r is "πr2". Base Area of a Cylinder = (π × radius2) square units.
Calculation of Base Area of Cylinder
The base area of a cylinder is equal to the square of its radius times π. By following the steps mentioned below we can find the base area of a cylinder.
- Step 1: Calculate the radius of the base of the cylinder.
- Step 2: Find the square of the radius.
- Step 3: Find out the product of the square of its radius to π.
- Step 4: The answer is in square units of the unit of the length radius.
Example: What is the base area of the cylinder having a base radius of 7 units? (Use π = 22/7)
Solution: Given that base radius = 7 units
We know that, the base area of the cylinder = πr2
⇒ Base area = (22/7 × 72)
⇒ Base area = (22 × 7) = 154 square units
Thus, the base area of the cylinder having a base radius of 7 units is 154 square units.
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FAQs on Base Area of Cylinder
What is the Base Area of the Cylinder?
The base area of cylinder definition is given as the area occupied within the boundary of the circular base is called the base area of the cylinder. The unit for the base area of the cylinder is given as square centimeters, square inches, square feet, etc.
What is the Formula To Find the Base Area of a Cylinder?
The formula to find the area of the base of a cylinder is πr2 where r is the radius of the base of the cylinder. The value of the base area of the cylinder is equal to the area of the circle as the base of the cylinder is circular.
How to Find the Base Area of Cylinder?
We can find the base area of the cylinder in the following way:
- Step 1: Determine the radius of the base of the cylinder.
- Step 2: Square the radius of the base.
- Step 3: Find the product of the square of its radius to π.
- Step 4: The answer is in square units of the unit of the length radius.
How to Find Volume of Cylinder Using the Base Area of Cylinder?
The volume of the cylinder can be determined using the base area of the cylinder using the following steps:
- Step 1: Determine the base area of the cylinder using the given dimensions of the cylinder.
- Step 2: Multiply the obtained value in Step 1 by the height of the cylinder using the formula volume of cylinder = base area × h.
- Step 3: The answer is in square units of the unit of the length radius.
How Can We Calculate the Base Area of Cylinder If the Volume of Cylinder and Its Height is Known?
We can determine the base area of the cylinder using the following steps:
- Step 1: Write the given dimensions of the cylinder.
- Step 2: Use the formula volume of cylinder = base area × h to determine the value of the base area.
- Step 3: Once the value for the base area is obtained, write square units as per the dimension of height and volume of the cylinder.
What Happens to the Base Area of Cylinder If the Radius of Base is Doubled?
The base area of the cylinder becomes four times if the radius of the base is doubled as the base area of the cylinder = πr2 and replacing r by (2r) we get, the base area of the cylinder = π(2r)2 = 4πr2 = 4 × original base area of the cylinder.