Question
An ice cream cone that is 4 inches tall has an opening that is 8 inches across. Find the volume of the cone.
- 201.06 inches3
- 67.02 inches3
- 50.27 inches3
- 403.19 inches3
Hint:
Calculate volume of the Cone through general Formulae explorer or through Integrating the terms required.
Simply, Substitute the values given after obtained the general expression.
The correct answer is: 67.02 inches3
Given That:
Height of the Cone (h) = 4 inches
Diameter of the Base = 8 inches
We know in any Circle:
2
Radius=Diameter
Then, Radius=4 inches.
Hence, Base area = 
r2
=
3.1416
= 16.7467
Hence, The volume of a cone = Base Area Height
=16.74674
=66.9868 ~67.02
Volume of Cone is 67.02 cubic inches.
An Ice Cream is generally exists in cone shape. Hence, it is associated with the height and base radius.
Volume of a Cone is Calculated as we know it's volume is 1/3 portion of total volume of a cylinder. Then, Volume of Cylinder is Base area Height = r2h.
Hence, the volume of a cone is 1/3 of r2h = r2h.
Volume is generally treated as a product term of base area and height. Similarly, When it comes to Cone base area is divided into three parts since from figure only one of the three parts is included in the volume of the cone. That's the reason behind why we taken only third part of base area.
Hence, We have derived the volume of a cone that is r2h.
Related Questions to study
A cone and a cylinder have the same diameter and height. How many times greater is the cylinder's volume than the cone's?
Since, We know the volume of a cylinder and volume of a cone, we can easily relate between them.
As, we seen before Volume of a Cylinder is given by : r2h
Similarly, Volume of the Cone is: r2h.
***Volume of a Cone = Volume of a Cylinder.
***Volume of a Cylinder = 3 Volume of Cone.
Hence, We can say that Volume of the Cylinder is Three times the volume of the Cone.
A cone and a cylinder have the same diameter and height. How many times greater is the cylinder's volume than the cone's?
Since, We know the volume of a cylinder and volume of a cone, we can easily relate between them.
As, we seen before Volume of a Cylinder is given by : r2h
Similarly, Volume of the Cone is: r2h.
***Volume of a Cone = Volume of a Cylinder.
***Volume of a Cylinder = 3 Volume of Cone.
Hence, We can say that Volume of the Cylinder is Three times the volume of the Cone.
Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone.
The Given Data:
Diameter of a circular base: 8 feet
We know 2radius=diameter. Then. radius=4 feet.
height of a cone = 3 feet.
Hence, Volume of a cone = Area of a circular base Height
Area of a circular base: r2 = 3.14 42 = 50.24 ft2 .
Volume of Cone = 50.243 = 50.24 ft3.
Hence, The volume of a cone is equal to the 50.24 cubic feet.
Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone.
The Given Data:
Diameter of a circular base: 8 feet
We know 2radius=diameter. Then. radius=4 feet.
height of a cone = 3 feet.
Hence, Volume of a cone = Area of a circular base Height
Area of a circular base: r2 = 3.14 42 = 50.24 ft2 .
Volume of Cone = 50.243 = 50.24 ft3.
Hence, The volume of a cone is equal to the 50.24 cubic feet.
