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2 marksVolume of Solids

CSEC Mathematics · May/June 2015 · Paper 2 · Question 6(a)(i)

The diagram below, not drawn to scale, shows two cylindrical water tanks, A and B. Tank B has base diameter 8 m and height 5 m. Both tanks are filled with water. Take π = 3.14.

Calculate the volume of water in Tank B.

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Other parts of this question

  1. 6(a)(ii)If the area of the base of A is 314 m², calculate the length of the radius of Tank A.[1 mark]
  2. 6(a)(iii)Tank A holds 8 times as much water as Tank B. Calculate the height, h, of Tank A.[2 marks]
  3. 6(b)(i)The size of the scale factor is ____________[1 mark]
  4. 6(b)(ii)The scale factor is negative because ____________[1 mark]
  5. 6(b)(iii)The length of PQ is √13 units, therefore, the length of P'Q' is ____________ units.[1 mark]
  6. 6(b)(iv)The area of triangle PQR is ____________ square units.[1 mark]
  7. 6(b)(v)The area of P'Q'R' is ____________ times the area of triangle PQR which is ____________ square units.[2 marks]

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