Question

A cylinder has a surface area of 402 cm^2. The height is three times greater than the radius. What is the height of the cylinder?

8 cm, 10.48 cm, 12 cm, or 16.97 cm

Answer 1

r = radius
3r = height (h)
SA = 2(pi)(r)(h) + 2(pi)(r^2)
SA = 2(pi)(r)(3r) + 2(pi)(r^2)
SA = 6(pi)(r^2) + 2(pi)(r^2)
SA = 8(pi)r^2

402 = 8(pi)r^2
402 = 8(3.14)r^2
402 = 25.12r^2
16.00318 = r^2
rounding 16.00318 = 16
16 = r^2
r = 4

Answer 2

formula for surface area of cylinder is 2 pi r^2 + 2 pi r h
where r = radius and h = height

and let radius be x
and than according to given height = 3x

now try equating these.. and try the question yourself

Answer 3

britney explained it but it was a little hard to follow... can someone explain it a little more clearly?