The radius of a cylinder is 5" and the lateral area is 70 pi sq. In. Find the length in altitude

We are to solve for the value of the altitude of the given cylinder which has a radius of 5 feet and a lateral area of 70pi ft². To solve this we should recall that the formula in solving the lateral area of a cylinder is Lateral Area = 2pi*r*h. The solution is shown below:

r is equal to 5 ft

lateral area = 70pi

Solving for h, we have:

70pi = 2pi*5*h

70pi / 2pi = 5h

35 = 5h

divide both sides by 5, we have:

35/5 = 5h/5

7 = h

The answer for the length of the altitude is 7 feet.