Find the surface area of a cylinder if d = 16 in and h = 5.8 in. Round to the nearest tenth.
To find the surface area of a cylinder, you need the formula:
Surface Area = 2πr^2 + 2πrh
First, let's find the radius (r) of the cylinder. The diameter (d) is given as 16 inches, so the radius (r) is half of that:
r = d/2
r = 16/2
r = 8 inches
Now, let's substitute the values into the formula:
Surface Area = 2π(8^2) + 2π(8)(5.8)
Calculating:
Surface Area = 2π(64) + 2π(8)(5.8)
Surface Area = 128π + 93.6π
Surface Area = 221.6π
Now, to get the decimal approximation, substitute π with its approximate value of 3.14159:
Surface Area = 221.6 * 3.14159
Surface Area ≈ 695.908344
Rounding to the nearest tenth, the surface area of the cylinder is approximately 695.9 square inches.