Question

A cylinder has a volume of 175 cubic units and a height of 7 units. The diameter of the cylinder is 10 units 12.5 units 5 units

Answer 1

d=5.641895835

Explanation:

The volume of a cylinder is given by

V = pi r^2 h

175 = pi ( r^2) 7

Divide each side by 7pi

175 / 7pi = pi ( r^2) 7/ 7pi

175 / 7pi = r^2

7.957747155 = r^2

Take the square root of each side

sqrt(7.957747155) =sqrt( r^2)

2.82 = r

We want the diameter

d = 2*r

d = 2.82 * 2

d=5.641895835