Find the height of a cylinder with a radius of 2 feet and a volume of 28.3 ft3. Use 3.14 for π and round to the nearest tenth, if necessary.Group of answer choices355.4 ft.4.5 ft.7.1 ft.2.3 ft.
Question
Find the height of a cylinder with a radius of 2 feet and a volume of 28.3 ft3. Use 3.14 for π and round to the nearest tenth, if necessary.Group of answer choices355.4 ft.4.5 ft.7.1 ft.2.3 ft.
Solution
The volume of a cylinder is given by the formula V = πr²h, where r is the radius, h is the height, and π is a constant approximately equal to 3.14.
Given that the volume V is 28.3 cubic feet and the radius r is 2 feet, we can substitute these values into the formula and solve for h:
28.3 = 3.14 * (2)² * h 28.3 = 3.14 * 4 * h 28.3 = 12.56 * h
Now, divide both sides of the equation by 12.56 to solve for h:
h = 28.3 / 12.56 h ≈ 2.3 feet
So, the height of the cylinder is approximately 2.3 feet.
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