Find the lateral surface area of a cylinder with a radius of 2.5 meters and a height of 7 meters.
Use 3.14 for pi and round your answer to the nearest tenth.
(1 point)
m2
Question 2
Part B
What is the total surface area of the cylinder from Part A? (Radius is 2.5 meters and height is 7 meters).
Use 3.14 for pi.
(1 point)
Responses
266.9 m2
266.9 m2
129.52 m2
129.52 m2
149.15 m2
149.15 m2
151.0 m2
151.0 m2
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The lateral surface area of the cylinder is given by the formula:
Lateral Surface Area = 2 * pi * radius * height
Plugging in the values, we get:
Lateral Surface Area = 2 * 3.14 * 2.5 * 7
= 109.9 m^2
Rounding to the nearest tenth, the lateral surface area is 109.9 m^2.
For the total surface area, we need to consider the base areas as well. The formula for total surface area is:
Total Surface Area = 2 * pi * radius * (radius + height)
Plugging in the values, we get:
Total Surface Area = 2 * 3.14 * 2.5 * (2.5 + 7)
= 2 * 3.14 * 2.5 * 9.5
= 150.65 m^2
Rounding to the nearest tenth, the total surface area is 150.7 m^2.
Therefore, the correct answer is:
Lateral Surface Area = 109.9 m^2
Total Surface Area = 150.7 m^2