The volume of the cone when x = 3 is 18. Which equation can be used to represent the volume of the cone, V(x)?
Answer: the last option is the correct answer.
Step-by-step explanation:
When x = 3, height = 2 × 3 = 6
When x = 3, base = π × 3² = 9π
Volume = 1/3 × 6 × 9π = 18π
Therefore,
The formula for determining the volume of the cone is
Volume = 1/3 × height × area of base
Height is f(x) = 2x
Area of base is g(x) = πx²
Therefore, the equation that can be used to the volume of the cone, V(x) would be
1/3(f.g)(x)