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WAEC (WASSCE) Mathematics · Mensuration

Volumes: WAEC Mathematics Past Questions and Answers

What the WAEC syllabus covers in Volumes

Our summary: Finding how much space solid shapes take up.

  • Volumes of cubes, cuboids, cylinders, cones, right pyramids and spheres
  • Volumes of similar solids

Syllabus content © The West African Examinations Council (WASSCE (harmonised West African syllabus)).

WAEC (WASSCE) Mathematics questions on Volumes

  1. WAEC 2024The length and breadth of a cuboid are 15 cm and 8 cm respectively. If the volume of the cuboid is 1560 cm ^3 , calculate the total surface area.
  2. WAEC 2024A cone and a cylinder are of equal volume. The base radius of the cone is twice the radius of the cylinder. What is the ratio of the height of the cylinder to…
  3. WAEC 2023The radius of a sphere is 3 cm. Find, in terms of π, its volume.
  4. WAEC 2022Find the correct to two decimal places, the volume of a sphere whose radius is 3cm. [Take π = 22/7 ]
  5. WAEC 2022Find the volume of a cone of radius 3.5cm and vertical height 12cm. [Take π = 22/7]
  6. WAEC 2021A solid brass cube is melted and recast as a solid cone of height h and base radius r. If the height of the cube is h, find r in terms of h.
  7. WAEC 2020The diameter of a sphere is 12 cm. Calculate, correct of the nearest cm ^3 , the volume of the sphere, [Take = 22/7 ]
  8. WAEC 2020The dimension of a rectangular base of a right pyramid is 9 cm by 5cm. If the volume of the pyramid is 105 cm ^3 , how high is the pyramid?
  9. WAEC 2018The volume of a cylindrical tank, 10m high is 385 m ^2 . Find the diameter of the tank. [Take = 22/7 ]
  10. WAEC 2018The surface area of a sphere is 792/7 cm^2 . Find, correct to the nearest whole number, its volume. [Take = 22/7 ]
  11. WAEC 2017Water flows out of a pipe at a rate of 40 cm^2 per seconds into an empty cylinder container of base radius 4cm. Find the height of water in the container after…
  12. WAEC 2017If the total surface area of a solid hemisphere is equal to its volume, find the radius
  13. WAEC 2016A sphere of radius rcm has the same volume as cylinder of radius 3cm and height 4cm. Find the value of r
  14. WAEC 2016The volume of a pyramid with height 15cm is 90cm3. If its base is a rectangle with dimension xcm by 6cm, find the value of x
  15. WAEC 2015The volume of a cone of height 3cm is 38 1/2 cm3. Find the radius of its base. [Take = 22/7 ]
  16. WAEC 2015The dimension of a rectangular tank are 2m by 7m by 11m. If its volume is equal to that of a cylindrical tank of height 4cm, calculate the base radius of the…
  17. WAEC 2014The radii of the base of two cylindrical tins, P and Q are r and 2r respectively. If the water level in p is 10cm high, what would be the height of the same…
  18. WAEC 2014The volume of a cube is 512cm3. Find the length of its side
  19. WAEC 2013A pyramid has a rectangular base with dimensions 12m by 8m. If its height is 14m, calculate the volume
  20. WAEC 2013A cube and cuboid have the same base area. The volume of the cube is 64cm ^3 while that of the cuboid is 80cm ^3 . Find the height of the cuboid
  21. WAEC 2013The slant height of a cone is 5cm and the radius of its base is 3cm. Find, correct to the nearest whole number, the volume of the cone. ( Take = 22/7 )
  22. WAEC 2012The volume of a cuboid is 54cm3. If the length, width and height of the cuboid are in the ratio 2:1:1 respectively, find its total surface area
  23. WAEC 2011A cylindrical container has a base radius of 14cm and height 18cm. How many litres of liquid can it hold? correct to the nearest litre [Take = 22/7 ]
  24. WAEC 2011The height of a cylinder is equal to its radius. If the volume is 0.216 m^3 Calculate the radius.
  25. WAEC 2011The height of a cylinder is equal to its radius. If the volume is 0.216 m ^3 . Calculate the radius.
  26. WAEC 2011John pours 96 litres of red oil into a rectangular container with length 220cm and breadth 40cm. Calculate, correct to the nearest cm, the height of the oil in…
  27. WAEC 2010An empty rectangular tank is 250cm long and 120cm wide. If 180 litres of water is poured into the tank. Calculate the height of the water

Years with Volumes questions in DeeepSolve's question bank

From the past questions DeeepSolve holds, not a count of everything the exam body has set.

  • 2024
  • 2023
  • 2022
  • 2021
  • 2020
  • 2018
  • 2017
  • 2016
  • 2015
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010
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