The area of the surface of a ball is equal to the area of the curved surface of a right circular cylinder. If both the height and diameter of the cylinder are 12 cm, find the diameter of the ball.
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Answer:
Step-by-step explanation:
Solve this equation for d.
SA of ball = SA of curve surface of cylinder
4π(d/2)2 = 2π(d/2)(h)
4π(d2 / 4) = dπh
πd2 = dπh
d2 = dh
d2 = 144
d = 12
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