Question

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

Answer 1

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

Answer 2

Answer:

14 Units

Step-by-step 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