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

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

15 cm

1.5 cm

10 cm

150 cm

1 answer

10 cm

The formula for the volume of a cylinder is V = πr^2h, where r is the radius of the base and h is the height. The base area of the cylinder is 100 cm^2, so we can find the radius by taking the square root of 100 cm^2 which is 10 cm.

Now, we know the volume of the cylinder is 1500 cm^3. Plugging in the values we have:

1500 = π(10)^2h
1500 = 100πh
h ≈ 4.77 cm

Therefore, the height of the juice container is approximately 4.77 cm.