Answer:
h = 16 inches
Step-by-step explanation:
The surface area of a cylinder is given by
SA = 2 pi r^2 + 2 pi rh
We know the surface area and the radius
1206.4 = 2 ( 3.14) * 8^2 + 2 * 3.14 * 8 *h
1206.4 = 401.92+50.24h
Subtract 401.92 from each side
1206.4-401.92 = 401.92-401.92+50.24h
804.48=50.24h
Divide each side by 50.24
804.48/50.24 =50.24h/50.24
16.01273885=h
Answer:
[tex]h=16.01 inch[/tex]
Step-by-step explanation:
Surface area of the cylinder=[tex]1206.4 inch^2[/tex]
Radius of the cylinder=[tex]8 inch[/tex]
Surface area of a cylinder= [tex](2*\pi *r*h)+(2*\pi *r^2)[/tex]
As, [tex]\pi =\frac{22}{7} =3.14[/tex]
[tex]1206.4=(2*3.14*8*h)+2*3.14*8*8\\\\1206.4=(2*3.14*8*h)+(2*3.14*64)[/tex]
[tex]1206.4=50.24*h+401.92\\\\804.48=50.24*h\\\\h=804.48/50.24\\\\ h=16.01 inch[/tex]
The height of the cylinder is: [tex]h=16.01 inch[/tex]
