12.

A cylinder has a volume of 363 cubic meters. The diameter of the cylinder is 9 meters. Find the height of the cylinder.

h = 5.705m

Step-by-step explanation:

Volume of a cylinder

V = πr^2h

V - volume of the cylinder

π - pie

r - radius of the cylinder

h - height of the cylinder

Given:

V = 363 cubic meters

d = 9m

h = ? m

d = 2r

d - diameter

r - radius

r = d/2

r = 9/2

π - 3.142

Insert the values into the formula of volume of cylinder

V = πr^2h

363 = 3.142 * (9/2) ^2 * h

363 = 3.142 * 81/4 * h

363 = 63.6255h

Divide both sides by 63.6255 to get the value of h

363/63.6255 = 63.6255h/63.6255

5.705 = h

h = 5.705m