Answer:
9.744180189 cm
Step-by-step explanation:
1 liter = 1 dm³ (cube with 10cm side lengths) =
= 10×10×10 cm³ = 1000 cm³
the volume of a cylinder is
base area × height
and the base area is a circle
area = pi×r²
r (radius) is half the diameter.
so, we know
volume = 150000 cm³
r = diameter/2 = 70 cm
so, we have
150000 = pi×r² × height = pi×70² × height =
= pi×4900 × height
1500 = pi×49 × height
height = 1500 / (pi×49) = 9.744180189... cm
