15 cm.
To find the height of the cylinder, we can use the formula for the volume of a cylinder: V = πr^2h, where V is the volume, r is the radius of the base, and h is the height.
Given that the base area is 100 cm^2, we can find the radius by using the formula for the area of a circle: A = πr^2.
100 = πr^2
r^2 = 100/π
r ≈ 5.64 cm
Now, we can solve for the height:
1500 = π(5.64)^2h
1500 = 100πh
h = 1500 / 100π
h ≈ 4.77 cm
Therefore, the height of the juice container is approximately 4.77 cm.
A juice container shaped like a cylinder has a base area of 100 cm2 and can hold 1500 cm3 of juice. The height of the juice container is
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