A right circular cone is such that its radius r is twice its height h. Find its volume in terms of h
Question 1 Report
A right circular cone is such that its radius r is twice its height h. Find its volume in terms of h
Answer Details
The formula for the volume of a right circular cone is:
V = (1/3) * π * r^2 * h
In this problem, we are given that the radius r is twice the height h. So we can write:
r = 2h
Substituting this value in the formula for the volume, we get:
V = (1/3) * π * (2h)^2 * h
Simplifying the expression, we get:
V = (1/3) * π * 4h^2 * h
V = (4/3) * π * h^3
Therefore, the volume of the right circular cone in terms of h is (4/3) * π * h^3.
Hence, the correct option is:
- \(\frac{4}{3}\pi h^3\)
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