Question

A cylinder has a volume of 245 cubic units and a height of 5 units. The diameter of the cylinder is

Answer 1

14 Units

Explanation:

A cylinder has a volume of 245 cubic units and a height of 5 units. The diameter of the cylinder is

7 units

14 units

49 units

Odyssey

The person above me is correct

Answer 2

`V=245\ u^3\\H=5\ u\\d=2r=?\\\\V=\pi r^2H\\\\subtitute\\\\245=\pi r^2\cdot5\ \ \ |divide\ both\ sides\ by\ 5\\\pi r^2=49\ \ \ \ |divide\ both\ sides\ by\ \pi\\r^2=(49)/(\pi)\\\\r=\sqrt{(49)/(\pi)}\\\\r=(7)/(√(\pi))\to d=2\cdot(7)/(√(\pi))=\boxed{(14)/(√(\pi))}\\\\If\ V=245\pi\ then\\\\245\pi=\pi r^2\cdot5\ \ \ |/ide\ both\ sides\ by\ 5\pi\\r^2=49\\r=√(49)\\\boxed{r=7}\to\boxed{d=2\cdot7=14}`