Question

a cylinder has a volume of 245π cubic units and a height of 5 units. the diameter of the cylinder is
49 units
7 units
14 units

Explanation:

Step1: Recall cylinder volume formula

Volume $V = \pi r^2 h$

Step2: Substitute given values

$245\pi = \pi r^2 \times 5$

Step3: Solve for $r^2$

Divide both sides by $5\pi$: $r^2 = \frac{245\pi}{5\pi} = 49$

Step4: Find radius $r$

$r = \sqrt{49} = 7$

Step5: Calculate diameter

Diameter = $2r = 2 \times 7 = 14$

Answer:

14 units