The volume of the cylinder is 602.88 ft³.
The surface area of the cylinder is 301.44 ft²
<h3>How to find the volume and surface area of a cylinder?</h3>
volume of a cylinder = πr²h
volume of a cylinder = 3.14 × 4² × 12
volume of a cylinder = 3.14 × 16 × 12
volume of a cylinder = 602.88 ft³
Surface are of a cylinder = 2πr(r + h)
Surface are of a cylinder = 2 × 3.14 × 4(4 + 8)
Surface are of a cylinder = 25.12(12)
Surface are of a cylinder = 301.44 ft²
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Move everything to one side and factorize by grouping.
x⁴ - 4 = x³ + 2x
x⁴ - x³ - 2x - 4 = 0
(x⁴ - 4) - (x³ + 2x) = 0
(x² - 2) (x² + 2) - x (x² + 2) = 0
(x² - x - 2) (x² + 2) = 0
(x - 2) (x + 1) (x² + 2) = 0
Then
x - 2 = 0 or x + 1 = 0 or x² + 2 = 0
x = 2 or x = -1 or x² = -2
If x is real, then the third case has no solution. Then x = 2 or x = -1. Otherwise, we can solve over the complexes and include x = ± √2 i where i = √(-1).
the rate of growth will be 1.16
