calculate the surface area of a cylinder with a height of 60cm and a circumference of 62.8. I don't understand the formula and how to get the answer!!
http://www.math.com/tables/geometry/surfareas.htm
To calculate the surface area of a cylinder, you need to use the formula:
Surface Area = 2πr(r + h)
Where:
- π is a mathematical constant approximately equal to 3.14159
- r is the radius of the base of the cylinder
- h is the height of the cylinder
To find the radius of the base, you can use the formula for circumference of a circle:
C = 2πr
Given that the circumference of the base is 62.8, we can rearrange the formula to solve for the radius (r):
62.8 = 2πr
To isolate r, divide both sides of the equation by 2π:
r = 62.8 / (2π)
Now, we can substitute the value of r into the formula for the surface area:
Surface Area = 2π(62.8 / (2π))(62.8 / (2π) + 60)
Simplifying this expression further:
Surface Area = 2(62.8 / (2π))(62.8 / (2π) + 60)
Now, let's calculate the value using a calculator:
Surface Area = 2(31.4)(31.4 + 60)
= 2(31.4)(91.4)
= 2 * 2,874.76
= 5,749.52 square centimeters
Therefore, the surface area of the cylinder is approximately 5,749.52 square centimeters.