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Tub A is a frustum with top radius 20 cm and bottom radius 11 cm. Tub B has top radius 11 cm and bottom radius 20 cm. Both are 12 cm deep. Which tub holds more water?

Class 10Frustum of a ConeMensuration
  • ATub A, because its wider end is on top
  • BTub B, because its wider end is at the bottom
  • CBoth hold exactly the same amount
  • DTub A, but only if is used

Step-by-Step Solution

The volume is symmetric in and - swapping the two radii changes nothing. Both hold . Which end is on top affects only how the tub is used, not its capacity, and the value chosen for scales both tubs equally.
Answer: C) Both hold exactly the same amount

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