Question
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
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
Answers
GPT 3.5
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.
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.