cylinder problem 3:
A cylinder has a volume of 540 cm³ and an height of 8 cm.
a) calculate the radius
b) calculate the surface area
answer:
answer radius:
V = r² * π * h
540 = r² * π * 8 / : 8
67.5 = r² * π / : π
21.48… = r² / √
r = 4.6 cm
A: The radius is 4.6 cm.
answer surface area:
A = 2 * r * π * (r + h)
A = 2 * 4.6 * π * (4.6 + 8)
A = 364.17 cm²
A: The surface area is 364.17 cm².