The ball centered at point O touches the plane at point A. Point B lies in the tangency plane.
| December 16, 2020 | education
The ball centered at point O touches the plane at point A. Point B lies in the tangency plane. Find the volume of the ball if AB = 21cm, BO = 29cm.
Consider the triangle AOB:
AB = 29cm, VA = 21cm,
AO² = BO²-BA² = 29²-21² = 400 (cm²) —R²
V = 4 / 3πR²
V = 4 / 3π × 400 = 1600 / 3π (cm³) = 533, (3) π (cm³)
Answer: the volume of the ball is V = 533, (3) π cm³
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