A cylinder has a radius of 4 feet and a height of 3 feet. find the surface area of the cylinder measured in square feet?
The surface area of a cylinder can be calculated using the formula:
Surface Area = 2πr^2 + 2πrh
Where r is the radius and h is the height.
Given that the radius (r) is 4 feet and the height (h) is 3 feet, we can substitute these values in the formula:
Surface Area = 2π(4^2) + 2π(4)(3)
Simplifying further:
Surface Area = 2π(16) + 2π(12)
Surface Area = 32π + 24π
Surface Area = 56π
Since we are looking for the surface area measured in square feet, we need to approximate the value of π as 3.14:
Surface Area ≈ 56(3.14)
Surface Area ≈ 175.84
Therefore, the surface area of the cylinder is approximately 175.84 square feet.