A cylinder has a volume of 175 cubic units and a height of 7 units. The diameter of the cylinder is

5 units

10 units

12.5 units

The answer is 10 units

The diameter of the cylinder (d) is the twice of its radius (r) : d = 2r

The volume (V) of the cylinder with radius r and height h is:

V = π r² h

We have:

d = 2r

r = ?

h = 7

π = 3.14

V = 175π

175π = π * r² * 7

175 = r² * 7

r² = 175/7

r² = 25

r = √25

r = 5

d = 2r

d = 2 * 5

d = 10