Question

The surface area of the cylinder is 219in2 and the height of the cylinder is 12 inches. What is the diameter of the cylinder?

Answer 1

\[SA=2\pi rh+2\pi r^2\]

Answer 2

That could help (the formula)

Answer 3

izit 2.90?

Answer 4

aleroth are u almost done

Answer 5

219=2πrh+2π(r^2)
219=2πr(12)+2π(r^2)
219=24πr+2π(r^2)
219=2π(r^2)+24πr
219=2π ((r^2)+12r)
219+72π=2π ((r^2)+12r +36)
(219+72π)/2π = (r+6)^2
squareroot((219+72π)/2π) = r+6
r= 2.417 approximately

Answer 6

SA = 2*pi*r^2 + h(2*pi*r) = 219

2*pi*r^2 + 12*2*pi*r* = 219
2*pi*r^2 + 24*pi*r = 219
pi*r^2 + 12*pi*r = 109.5
r^2 + 12r = 109.5/pi

If pi = 3.14
r^2 + 12r = 34.8726

r^2 + 12r - 34.8726 = 0
r=-6+-sqrt(6^2+34.8726)
r=-6+-sqrt(70,8726)
r=-6+-8.418586579705646
r=2.4185865797056465

d=4.837173159411293