Jamb Mathematics Questions - Surface areas and Volumes of simple solids
Question 51:
A bucket is 12 cm in diameter at the top, 8 cm in diameter at the bottom and 4 cm deep. Calculate its volume.
- A 304π/3 cm<sup style='font-size: smaller;'>3</sup>
- B 144π cm<sup style='font-size: smaller;'>3</sup>
- C 128π cm<sup style='font-size: smaller;'>3</sup>
- D 72π cm<sup style='font-size: smaller;'>3</sup>
Question 52:
A solid hemisphere has a radius of 7 cm. Find the total surface area.
- A 400 cm<sup style='font-size: smaller;'>2</sup>
- B 462 cm<sup style='font-size: smaller;'>2</sup>
- C 66 cm<sup style='font-size: smaller;'>2</sup>
- D 308 cm<sup style='font-size: smaller;'>2</sup>
Question 53:
In the diagram above, a cylinder is summounted by a hemisphere bowl. Calculate the volume of the solid.
- A 180 πcm<sup style='font-size: smaller;'>3</sup>
- B 162 πcm<sup style='font-size: smaller;'>3</sup>
- C 216 πcm<sup style='font-size: smaller;'>3</sup>
- D 198 πcm<sup style='font-size: smaller;'>3</sup>
Question 54:
What is the rate of change of the volume V of a hemisphere with respect to its radius r when r = 2?
View Answer & ExplanationQuestion 55:
Find the curved surface area of a cone with circular base diameter 10 cm and height 12 cm
- A 25 πcm<sup style='font-size: smaller;'>2</sup>
- B 65 πcm<sup style='font-size: smaller;'>2</sup>
- C 120 πcm<sup style='font-size: smaller;'>2</sup>
- D 156 πcm<sup style='font-size: smaller;'>2</sup>