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Monday, 22 June 2026
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Mathematics Past Questions and Answers

Topic: Surface areas and Volumes of simple solids

Jamb Mathematics Questions - Surface areas and Volumes of simple solids

Question 66:
The volume of a cone (s) of height 6cm and base radius 5cm is
  • A 157cm<sup style='font-size: smaller;'>3</sup>
  • B 155cm<sup style='font-size: smaller;'>3</sup>
  • C 175cm<sup style='font-size: smaller;'>3</sup>
  • D 145cm<sup style='font-size: smaller;'>3</sup>
View Answer & Explanation
Question 67:
A cylindrical tank has a capacity of 3080m\(^3\). What is the depth of the tank if the diameter of its base is 14m?
  • A 25m
  • B 23m
  • C 22m
  • D 20m
View Answer & Explanation
Question 68:
A cylinder pipe, made of metal is 3cm thick.If the internal radius of the pipe is 10cm.Find the volume of metal used in making 3m of the pipe.
  • A 153\(\pi\)cm<sup style='font-size: smaller;'>3</sup>
  • B 207\(\pi\)cm<sup style='font-size: smaller;'>3</sup>
  • C 15 300\(\pi\)cm<sup style='font-size: smaller;'>3</sup>
  • D 20 700\(\pi\)cm<sup style='font-size: smaller;'>3</sup>
View Answer & Explanation
Question 69:
What is the rate of change of the volume V of a hemisphere with respect to its radius r when r = 2?
  • A
  • B 16π
  • C
  • D
View Answer & Explanation
Question 70:
A rectangular pyramid has an area 24cm\(^2\) and height 7.5cm. Find its volume?
  • A 65.0cm\(^3\)
  • B 70.5cm\(^3\)
  • C 56.5cm\(^3\)
  • D 60.0cm\(^3\)
View Answer & Explanation