An ice cream cone is 3 inches wide at the widest point, and is 6 inches tall. What is the volume of the cone in cubic inches? Use Pi
Volume cone=1/2 Areabase*height
areabase here is = PI (3/2)^2
I am sure Bob meant to type
Volume cone=1/3 Areabase*height
To find the volume of a cone, you will need to use the formula:
Volume = (1/3) * π * r^2 * h
where π is a mathematical constant approximately equal to 3.14159, r is the radius of the cone's base, and h is the height of the cone.
In this case, we are given the width of the cone at the widest point, which we can assume is equal to the diameter of the base. The diameter of the base is twice the radius, so the radius would be half of the width. The radius (r) would then be:
r = 3 inches / 2 = 1.5 inches
The height of the cone (h) is already given as 6 inches.
Now we can substitute the values into the formula:
Volume = (1/3) * π * (1.5 inches)^2 * 6 inches
Simplifying the formula:
Volume = (1/3) * π * 2.25 square inches * 6 inches
Volume = (1/3) * π * 13.5 cubic inches
Finally, calculating the volume:
Volume ≈ 4.5 * 3.14159 * 13.5 cubic inches
Volume ≈ 190.98410625 cubic inches
Therefore, the volume of the ice cream cone is approximately 190.98 cubic inches.