Question
Suppose a soup can has a diameter of 10 cm and a height of 12 cm. What is the volume of soup in the can? (to nearest whole number)
Answers
GPT 3.5
To calculate the volume of soup in the can, we can use the formula for the volume of a cylinder:
V = πr^2h
First, we need to calculate the radius of the can, which is half of the diameter:
r = 10 cm / 2 = 5 cm
Now we can plug in the values for the radius and height of the can into the formula:
V = π(5 cm)^2(12 cm)
V = π(25 cm^2)(12 cm)
V = 300π cm^3
To find the volume to the nearest whole number, we can use the approximation π ≈ 3.14:
V ≈ 300(3.14) cm^3
V ≈ 942 cm^3
Therefore, the volume of soup in the can is approximately 942 cm^3.
V = πr^2h
First, we need to calculate the radius of the can, which is half of the diameter:
r = 10 cm / 2 = 5 cm
Now we can plug in the values for the radius and height of the can into the formula:
V = π(5 cm)^2(12 cm)
V = π(25 cm^2)(12 cm)
V = 300π cm^3
To find the volume to the nearest whole number, we can use the approximation π ≈ 3.14:
V ≈ 300(3.14) cm^3
V ≈ 942 cm^3
Therefore, the volume of soup in the can is approximately 942 cm^3.