Use the equation for the surface area of a cylinder, SA = 2^r2 + 2arh, where r is

the radius and h is the height. Find h if the surface area is 207.24 square inches and

the radius is 3 inches. Use 3.14 for it and round your answer to the nearest whole

number if needed.

Respuesta :

Answer:

8in

Step-by-step explanation:

the given formula in the question is not correct

here is the correct formula

S. A. =2πr^2 +2πrh

given that S.A=207.24

radius r= 3in

207.24=2*3.142*(3)^2 +2*3.142*(3)h

207.24=56.556 +18.852h

207.24-56.556=18.852h

150.684=18.852h

h=150.684/18.852

h=7.99

Approximately the height is 8in