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A frustum has end radii 4 cm and 6 cm. A cylinder of the same height has exactly the same volume as the frustum. What can you say about the cylinder's radius?

Class 10Frustum of a ConeMensuration
  • Aa value between 4 cm and 6 cm
  • Bless than 4 cm
  • Cmore than 6 cm
  • Dexactly 10 cm

Step-by-Step Solution

The frustum's volume lies between that of a cylinder of radius 4 (smaller) and radius 6 (larger) at the same height, so an equal-volume cylinder has radius between 4 and 6 cm.
Answer: A) a value between 4 cm and 6 cm

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