Volume and Surface Area of Cylinder

Volume and Surface Area of Cylinder

TGM Original Questions

An open cylindrical can with diameter 6 cm and height 10 cm is used to fill water into an empty cuboid tank with dimensions 48 cm by 24 cm by \(h\) cm. Assume the thickness of all containers is negligible.

  1. Find the volume of the cylindrical can, leaving your answer in terms of \(\pi\).
  2. Given that exactly 128 cans of water are needed to completely fill the empty tank, find the value of \(h\), leaving your answer in terms of \(\pi\).
  3. Given that \(h =\) 40 cm, find the minimum number of cans of water needed to completely fill the empty tank, rounding up to the next whole number if necessary.

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Answer:(a) \(90\pi\text{ cm}^3\) (b) \(h=10\pi\text{ cm}\) (c) \(163\) cans

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