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Australian AMC 2008 - Intermediate Question 17

AMC AUSTRALIA · Australian AMC 2008 - Intermediate

Question 17

The interior of a drinking glass is a cylinder of diameter 8 cm and height 12 cm. The glass is held at an angle of $45^\circ$ from the vertical and filled until the base is just covered. How much water, in millilitres, is in the glass?
  1. $48\pi$
  2. $64\pi$
  3. $96\pi$
  4. $192\pi$
  5. $256\pi$