Answer:
h = 3 ft
Step-by-step explanation:
The lateral surface area of a cylinder is given by
LSA=2πrh where r is the radius and h is the height
The diameter is 312 inches
Changing to ft
312/12 =26 ft
Dividing by 2 to get the radius
26/2 = 13 ft
LSA=2πrh
Using 3.14 for pi
245 ft^2 = 2 * 3.14* 13 ft * h
245 = 81.64 h
Divide each side by 81.64
245/81.64 = 81.64 h/81.64
3.000979912 = h
To the nearest foot
3 = h
