The area of the circular base of the cylinder is calculated using the formula A = πr^2, where r is the radius of the circular base. Since the diameter is 10, the radius is half of the diameter, which is 5.
Therefore, the area of the circular base = π(5)^2 = 25π ≈ 78.54 square inches
The width of the lateral face of the cylinder is the same as the height of the cylinder, which is 3 inches.
The area of the lateral face of the cylinder is calculated using the formula A = 2πrh, where r is the radius and h is the height.
Therefore, the area of the lateral face = 2π(5)(3) = 30π ≈ 94.25 square inches
The total surface area of the cylinder is the sum of the area of the circular base and the area of the lateral face.
Therefore, total surface area = 25π + 30π = 55π ≈ 172.76 square inches
So, the answers are:
Area of the circular base: 78.54 square inches
Width of the lateral face: 3 inches
Area of the lateral face: 94.25 square inches
Total surface area: 172.76 square inches
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(4 points)
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. square inches
Determine the width of the lateral face of the cylinder. inches
Determine the area of the lateral face of the cylinder. square inches
What is the total surface area of the cylinder? square inches
diameter is 10 and height is 3
responses:
30 square inches
30 square inches
94 square inches
94 square inches
251 square inches
251 square inches
817 square inches
1 answer
1 answer