Answer:
67 cubic inches
Step-by-step explanation:
Given height of cone = 4 inches
Given height of cone is half of diameter of base of cone
If D is diameter, then
4 inches = 1/2 D
=> D = 8 inches
Radius for any circle is half of diameter of circle.
Thus for given cone
radius = 1/2 D = 1/2 * 8 = inches.
Area of circle is given by [tex]\pi r^2[/tex] where r is radius of circle.
Thus area of given base of cone is given as below
[tex]\pi 4^2\\=> 3.14 *16\\=>50.24[/tex]
We know that volume of cone is given by
volume = 1/3(area of base * height)
Thus,
volume of given cone = 1/3(50.24)*4 =66.98 cubic inches
volume of cone in nearest cubic inches is 67 .