Find the total surface area, in square meters, of a cylinder with a radius r = 4 m and height h = 6 m Select one:a.653.12b.452.39c.251.2d.301.59
Question
Find the total surface area, in square meters, of a cylinder with a radius r = 4 m and height h = 6 m
Select one:
- a. 653.12
- b. 452.39
- c. 251.2
- d. 301.59
Solution
The total surface area (A) of a cylinder can be found using the formula:
A = 2πrh + 2πr²
where: r = radius of the base of the cylinder h = height of the cylinder
Given that r = 4 m and h = 6 m, we can substitute these values into the formula:
A = 2π(4 m)(6 m) + 2π(4 m)² A = 48π m² + 32π m² A = 80π m²
To get the answer in decimal form, we multiply by the value of π (approximately 3.14159):
A = 80 * 3.14159 m² A = 251.327 m²
So, the total surface area of the cylinder is approximately 251.33 square meters. Therefore, the correct answer is c. 251.2.
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