Find the surface area of a cylinder with a height of 3 cm and a base radius of 2 cm.Use the value 3.14 for π, and do not do any rounding.Be sure to include the correct unit.
Question
Find the surface area of a cylinder with a height of 3 cm and a base radius of 2 cm.Use the value 3.14 for π, and do not do any rounding.Be sure to include the correct unit.
Solution
The surface area of a cylinder can be found using the formula:
A = 2πrh + 2πr²
where:
- r is the radius of the base of the cylinder
- h is the height of the cylinder
- π is a mathematical constant whose approximate value is 3.14
Given that the radius r is 2 cm and the height h is 3 cm, we can substitute these values into the formula:
A = 23.1423 + 23.14*2²
Calculating the two parts of the equation separately:
- For 2πrh: 23.142*3 = 37.68 cm²
- For 2πr²: 23.142² = 25.12 cm²
Adding these two values together gives the total surface area of the cylinder:
A = 37.68 cm² + 25.12 cm² = 62.8 cm²
So, the surface area of the cylinder is 62.8 square centimeters.
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