how many cubic inches of ice cream can an ice cream cone hold (within the cone) if its height is 7 inches and the diameter of its base is 3 inches? give solution accurate to the nearest hundredth.
radius = 1.5
volume = (1/3) pi (1.5)^2 (7) in^3
i think its 16.49 in^3 right?
If Ice cream cost $0.30 per cubic in, how much will it cost to fill the cone?
To find the volume of the ice cream cone, we can use the formula for the volume of a cone, which is given by:
V = (1/3) * π * r^2 * h
Where:
V is the volume of the cone
π is a mathematical constant (approximately 3.14159)
r is the radius of the base of the cone (half of the diameter)
h is the height of the cone
In this case, the height of the cone is 7 inches and the diameter of the base is 3 inches. Therefore, the radius (r) would be half of the diameter, which is 1.5 inches.
Let's substitute these values into the formula:
V = (1/3) * π * (1.5^2) * 7
V = (1/3) * 3.14159 * 2.25 * 7
V ≈ 9.425 cubic inches
So, the ice cream cone can hold approximately 9.425 cubic inches of ice cream (accurate to the nearest hundredth).