Remember to use 3.14 for π
. Round to the nearest hundredths place (2 digits after the decimal).
Determine the area of the circular base of the cylinder.
Determine the width of the lateral face of the cylinder.
Determine the area of the lateral face of the cylinder.
What is the total surface area of the cylinder?
height 14 in
radius 7 in
To find the area of the circular base of the cylinder, we use the formula for the area of a circle: A = πr^2, where r is the radius of the circle.
A = 3.14 * 7^2
A = 3.14 * 49
A = 153.86
So, the area of the circular base of the cylinder is 153.86 square inches.
To find the width of the lateral face of the cylinder, we use the formula for the circumference of a circle: C = 2πr.
C = 2 * 3.14 * 7
C = 43.96
To find the area of the lateral face of the cylinder, we multiply the circumference of the circle by the height of the cylinder:
A = 43.96 * 14
A = 615.44
So, the area of the lateral face of the cylinder is 615.44 square inches.
To find the total surface area of the cylinder, we add the area of the circular base to the area of the lateral face:
Total Surface Area = 153.86 + 615.44
Total Surface Area = 769.30
Therefore, the total surface area of the cylinder is 769.30 square inches.