A cylinder has a volume of 245 cubic units and a height of 5 units. The diameter of the cylinder is7 units14 units49 units
Accepted Solution
A:
Answer:The diameter is twice that, or approx. 7.90 units.Step-by-step explanation:the equation for the volume of a cylinder of radius r and height h isV = πr²h. Here we need to calculate the diameter after having found the radius. Solving V = πr²h for r², we get: Vr² = ----------- πhSubstituting the given values, we obtain for r² the following: 145 units³r² = ------------------------ = 15.6 units² 3.14159(5 units)Taking the square root of both sides, we get:r = √15.60, or approx. 3.95 units.The diameter is twice that, or approx. 7.90 units.