The volume of a right circular cylindrical box of radius 30 cm is 600 cm³. Find the height of the box.

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Accepted Answer

The volume V of a right circular cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

Given:
Radius, r = 30 cm
Volume, V = 600 cm³

Using the formula:
600 = π × (30)² × h
600 = π × 900 × h
600 = 900πh

Solving for h:
h = 600 / (900π) = (600 / 900) × (1/π) = (2/3) × (1/π) ≈ (2/3) × 0.3183 ≈ 0.2122 cm

Therefore, the height of the box is approximately 0.21 cm.

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