The volume V of the cone is calculated by the formula V = 1 / 3πR²H, express the height H. from this formula.

The original formula: V = 1/3 * π * R ^ 2 * H, it is necessary to express H.

Move the right expression with variable H to the left side:

1/3 * π * R ^ 2 * H = V.

Multiply both sides of the formula by (1 / R ^ 2):

1/3 * π * R ^ 2 * H * 1 / R ^ 2 = V * 1 / R ^ 2.

1/3 * π * H = V / R ^ 2.

Multiply both sides of the formula by (1 / π):

1/3 * π * H * 1 / π = (V / R ^ 2) * 1 / π.

1/3 * H = V / (R ^ 2 * π).

Let’s multiply both sides of the formula by 3:

1/3 * H * 3 = V / (R ^ 2 * π) * 3.

H = 3 * V / (R ^ 2 * π).

Answer: height H = 3 * V / (R ^ 2 * π).