Find the surface area of a cylinder with a base diameter of 8 ft and a height of 8 ft.Use the value 3.14 for π, and do not do any rounding.Be sure to include the correct unit.8ft8ft
Question
Find the surface area of a cylinder with a base diameter of 8 ft and a height of 8 ft.Use the value 3.14 for π, and do not do any rounding.Be sure to include the correct unit.8ft8ft
Solution
To find the surface area of a cylinder, you can use the formula:
Surface Area = 2πr(h + r)
where:
- r is the radius of the base of the cylinder
- h is the height of the cylinder
Given that the diameter of the base is 8 ft, the radius (r) would be half of that, which is 4 ft. The height (h) is also given as 8 ft.
Substituting these values into the formula gives:
Surface Area = 2 * 3.14 * 4 * (8 + 4) Surface Area = 2 * 3.14 * 4 * 12 Surface Area = 301.44 square feet
So, the surface area of the cylinder is 301.44 square feet.
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