What is the height of a cylinder with a volume of 1,899.7 cubic inches and a radius of 11 inches? (Use 3.14 for π.)

To solve for the height we proceed as follows:

The volume of the cylinder is given by:

V=πr²h

V=1899.7, r=11, π=3.14

plugging in the values in the formula and solving for h

1899.7 = (3.14*11²) * h

simplifying this we get:

1899.7=397.94h

dividing both sides by 397.94 we get

(1899.7) / 397.94 = (397.94h) / (397.94)

5=h

thus the height is 5 in

5 inches