To find the volume of a right circular cone, you can use the formula:
Volume = 1/3 π r^2 h
where r is the radius of the base of the cone, and h is the height of the cone.
Given:
- Height (h) = 4.4 inches
- Diameter of the base = 3.3 inches
First step is to find the radius of the base. The radius is half the diameter, so:
Radius (r) = Diameter / 2
= 3.3 inches / 2
= 1.65 inches
Now we will plug the radius and the height into the volume formula to calculate the volume:
Volume = 1/3 π (1.65 inches)^2 4.4 inches
= 1/3 π 2.7225 square inches 4.4 inches
= π 0.9075 cubic inches 4.4 inches
= π 3.993 cubic inches
= 12.566 (the approximate value of π) * 3.993 cubic inches
= 50.154348 cubic inches
Finally, rounding the resulting volume to the nearest tenth of a cubic inch:
Volume ≈ 50.2 cubic inches
So, the volume of the given right circular cone, rounded to the nearest tenth, is approximately 50.2 cubic inches.
