The volume of the cone can be calculated by the formula v 1 / 3p (r2-squared) h where r is the radius of the base of the cone

The volume of the cone can be calculated by the formula v 1 / 3p (r2-squared) h where r is the radius of the base of the cone, h is the height of the cone, using the formula, find H if V = 4p, r = 2

The assignment states that the volume of the cone (denoted by V) can be calculated by the formula V = (1/3) * π * r² * H, where r is the radius of the base of the cone, H is the height of the cone. Indeed, there is such a formula. It is required, using the above formula, to find H if it is known that V = 4 * π and r = 2.
Multiply by 3 both sides of this formula V = (1/3) * π * r² * H. Then, we get 3 * V = π * r² * H, whence H = (3 * V) / (π * r²) = ( 3 * 4 * π) / (π * 2²) = (3 * 4 * π) / (4 * π) = 3. Thus, H = 3.
Answer: H = 3.