Jamb Mathematics Questions - Surface areas and Volumes of simple solids
Question 26:
A right circular cone has a base radius r cm and a vertical angle 2yo. The height of the cone is
- A R tan y<sup style='font-size: smaller;'>o</sup> cm
- B R sin y<sup style='font-size: smaller;'>o</sup> cm
- C R cot y<sup style='font-size: smaller;'>o</sup> cm
- D R cos y<sup style='font-size: smaller;'>o</sup> cm
- E R cosec y<sup style='font-size: smaller;'>o</sup> cm
Question 27:
A solid sphere of radius 4cm has a mass of 64kg. What will be the mass of a shell of the same metal whose internal and external radii are 2cm and 3cm respectively?
View Answer & ExplanationQuestion 28:
Find the total surface area of solid cone of radius 2\(\sqrt{3}\)cm and slanting side 4\(\sqrt{3}\)
- A 8\(\sqrt{3}\pi \)cm<sup style='font-size: smaller;'>2</sup>
- B 24\(\pi \)cm<sup style='font-size: smaller;'>2</sup>
- C 15\(\sqrt{3}\pi \)cm<sup style='font-size: smaller;'>2</sup>
- D 36\(\pi \)cm<sup style='font-size: smaller;'>2</sup>
Question 29:
The figure is a solid with the trapezium PQRS as its uniform cross-section. Find its volume
- A 120m<sup style='font-size: smaller;'>2</sup>
- B 576m<sup style='font-size: smaller;'>3</sup>
- C 816m<sup style='font-size: smaller;'>3</sup>
- D 1056m<sup style='font-size: smaller;'>3</sup>
Question 30:
If a metal pipe 10cm long has an external diameter of 12cm and a thickness of 1cm find the volume of the metal used in making the pipe
- A 120\(\pi\)cm<sup style='font-size: smaller;'>3</sup>
- B 110\(\pi\)cm<sup style='font-size: smaller;'>3</sup>
- C 60\(\pi\)cm<sup style='font-size: smaller;'>3</sup>
- D 50\(\pi\)cm<sup style='font-size: smaller;'>3</sup>