Determine the width of the lateral face of the cylinder. inches
radius 7 pi 3.14 height 14
The lateral face of a cylinder is essentially the curved surface area of the cylinder, excluding the top and bottom circular faces. The formula to calculate the lateral surface area of a cylinder is given by:
Lateral surface area = 2 * π * r * h
Given that the radius of the cylinder is 7 and the height is 14, we can plug these values into the formula:
Lateral surface area = 2 * 3.14 * 7 * 14 = 615.44 square inches
Therefore, the width of the lateral face of the cylinder is 615.44 inches.
Determine the area of the circular base of the cylinder. square inches
The formula for the area of a circle is:
Area = π * r^2
Given that the radius of the circular base of the cylinder is 7, we can plug this value into the formula to find the area of the circular base:
Area = 3.14 * 7^2 = 3.14 * 49 = 153.86 square inches
Therefore, the area of the circular base of the cylinder is 153.86 square inches.
What is the total surface area of the cylinder? square inches
The total surface area of a cylinder consists of the sum of the lateral surface area and the areas of the two circular bases. The formula to calculate the total surface area of a cylinder is:
Total surface area = 2πrh + 2πr^2
Given that the radius (r) of the cylinder is 7 inches and the height (h) is 14 inches, we can plug these values into the formula:
Total surface area = 2π(7)(14) + 2π(7)^2
Total surface area = 2 * 3.14 * 98 + 2 * 3.14 * 49
Total surface area = 615.44 + 307.72
Total surface area = 923.16 square inches
Therefore, the total surface area of the cylinder is 923.16 square inches.
round to the nearest hundredth
When we round the total surface area of the cylinder to the nearest hundredth, we get:
Total surface area ≈ 923.16 square inches
Therefore, the total surface area of the cylinder, rounded to the nearest hundredth, is 923.16 square inches.