Use the formula SA = 2πr^2 2πrh = 22 2ℎ .
cylinder
4cm radius
10cm height
find surface area
First, calculate the surface area of the circular bases by using the formula for the area of a circle, A = πr^2:
A = π(4cm)^2
A = 16π
Since there are two bases on a cylinder, the total surface area of the bases is:
2(16π) = 32π
Next, calculate the lateral surface area of the cylinder using the formula 2πrh:
Lateral Surface Area = 2π(4cm)(10cm)
Lateral Surface Area = 80π
Now, add the surface area of the bases and the lateral surface area together to find the total surface area of the cylinder:
Total Surface Area = 32π + 80π
Total Surface Area = 112π
Therefore, the surface area of the cylinder with a 4cm radius and 10cm height is 112π square centimeters.