Last updated on August 5th, 2025
A calculator is a tool designed to perform both basic arithmetic operations and advanced calculations, such as those involving geometry. It is especially helpful for completing mathematical school projects or exploring complex mathematical concepts. In this topic, we will discuss the Surface Area Of A Cylinder Calculator.
The Surface Area Of A Cylinder Calculator is a tool designed for calculating the surface area of a cylinder.
A cylinder is a three-dimensional shape with two parallel circular bases and a curved surface connecting them.
The height is the perpendicular distance between the bases.
The word "cylinder" comes from the Greek word "kylindros," meaning "roller" or "tumbler."
For calculating the surface area of a cylinder using the calculator, we need to follow the steps below -
Step 1: Input: Enter the radius and height
Step 2: Click: Calculate Surface Area. By doing so, the radius and height we have given as input will get processed
Step 3: You will see the surface area of the cylinder in the output column
Mentioned below are some tips to help you get the right answer using the Surface Area Of A Cylinder Calculator.
Know the formula: The formula for the surface area of a cylinder is 2πr(r + h), where ‘r’ is the radius and ‘h’ is the height.
Use the Right Units: Make sure the radius and height are in the right units, like centimeters or meters.
The answer will be in square units (like square centimeters or square meters), so it’s important to match them.
Enter correct Numbers: When entering the radius and height, make sure the numbers are accurate.
Small mistakes can lead to big differences, especially with larger numbers.
Calculators mostly help us with quick solutions.
For calculating complex math questions, students must know the intricate features of a calculator.
Given below are some common mistakes and solutions to tackle these mistakes.
Help Sarah find the surface area of a cylindrical water tank with a radius of 5 cm and a height of 10 cm.
We find the surface area of the water tank to be 471 cm²
To find the surface area, we use the formula: Surface Area = 2πr(r + h)
Here, the value of ‘r’ is given as 5 and ‘h’ as 10
Now, we have to substitute the values in the formula:
Surface Area = 2 × 3.14 × 5 × (5 + 10) = 2 × 3.14 × 5 × 15 = 471 cm²
The radius ‘r’ of a cylindrical can is 7 cm, and its height ‘h’ is 14 cm. What will be its surface area?
The surface area is 924 cm²
To find the surface area, we use the formula: Surface Area = 2πr(r + h)
Since the radius is given as 7 and the height as 14,
we can find the surface area as Surface Area = 2 × 3.14 × 7 × (7 + 14) = 2 × 3.14 × 7 × 21 = 924 cm²
Find the surface area of a cylinder with a radius of 4 cm and a height of 8 cm, and compare it to the surface area of a cylinder with a radius of 6 cm and a height of 12 cm.
The surface area of the first cylinder is 301.44 cm², and the second cylinder is 678.24 cm².
For the first cylinder: Surface Area = 2πr(r + h) = 2 × 3.14 × 4 × (4 + 8) = 2 × 3.14 × 4 × 12 = 301.44 cm²
For the second cylinder: Surface Area = 2πr(r + h) = 2 × 3.14 × 6 × (6 + 12) = 2 × 3.14 × 6 × 18 = 678.24 cm²
A cylindrical tower has a radius of 10 cm and a height of 30 cm. Find its surface area.
We find the surface area of the cylindrical tower to be 2512 cm²
Surface Area = 2πr(r + h) = 2 × 3.14 × 10 × (10 + 30) = 2 × 3.14 × 10 × 40 = 2512 cm²
Mike wants to wrap a cylindrical gift with a radius of 8 cm and a height of 15 cm. Help Mike find the surface area to determine how much wrapping paper he will need.
The surface area of the cylindrical gift is 1152 cm²
Surface Area = 2πr(r + h) = 2 × 3.14 × 8 × (8 + 15) = 2 × 3.14 × 8 × 23 = 1152 cm²
Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
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