How many cubic centimeters of ice cream can an ice cream cone (within the cone) hold if its height is 7 centimeters and the diameter of its base is 4 centimeters? Give solution accurate to the nearest hundredth. Include correct units with your solution
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, π is a constant (approximately 3.14159), r is the radius of the base, and h is the height of the cone.
Given that the height of the ice cream cone is 7 centimeters and the diameter of its base is 4 centimeters, we first need to find the radius of the base.
The radius (r) of the base is half of the diameter, so r = 4/2 = 2 centimeters.
Now we can substitute the values into the volume formula:
V = (1/3) * 3.14159 * (2^2) * 7
≈ (1/3) * 3.14159 * 4 * 7
≈ 14.66692 cubic centimeters.
Therefore, an ice cream cone can hold approximately 14.67 cubic centimeters of ice cream.
A waffle cone for ice cream has a diameter of 8 centimeters and a height of 12 centimeters. What is the volume of the cone, in cubic centimeters?
Harold uses a cone shaped feeder, with a diameter of 7.5 centimeters and a height of 3.5 centimeters, to feed his tropical fish.
How many cubic centimeters of feed can this feeder hold?
Use 3.14 for pi.