Jamb Mathematics Questions - Surface areas and Volumes of simple solids
Question 21:
A cylindrical motor of height 12cm has uniform thickness of 2cm. If the diameter of its outer cross section is 10cm, Find the volume of the constituent material. (take \(\pi\) = \(\frac{22}{7}\)
- A \(\frac{6600}{7}\)cm<sup style='font-size: smaller;'>3</sup>
- B 270cm<sup style='font-size: smaller;'>3</sup>
- C 660cm<sup style='font-size: smaller;'>3</sup>
- D \(\frac{4224}{7}\)cm<sup style='font-size: smaller;'>3</sup>
- E \(\frac{1980}{7}\)cm<sup style='font-size: smaller;'>3</sup>
Question 22:
The area of a circular plate is one-sixteenth the surface area of a ball of a ball, If the area of the plate is given as P cm2, then the radius of the ball is
- A \(\frac{2P}{\pi}\)
- B \(\frac{P}{\sqrt{\pi}}\)
- C \(\frac{P}{\sqrt{2\pi}}\)
- D 2\(\frac{P}{\pi}\)
Question 23:
The area of the curved surface of the cone generated by the sector of a circle radius 6cm and are length 22cm is (\(\pi\) = \(\frac{22}{7}\))
- A 58 sq.cm
- B 34 sq.cm
- C 132 sq.cm
- D 77 sq.cm
- E 66 sq.cm
Question 24:
The square base of a pyramid of side 3cm has height 8cm. If the pyramid is cut into two parts by a plane parallel to the base midway between the base and the vertex, the volumes of the two sections are
- A (21cm<sup style='font-size: smaller;'>3</sup>, 3cm<sup style='font-size: smaller;'>3</sup>)
- B (24cm<sup style='font-size: smaller;'>3</sup>, 3cm<sup style='font-size: smaller;'>3</sup>)
- C (24cm<sup style='font-size: smaller;'>3</sup>, 21cm<sup style='font-size: smaller;'>3</sup>)
- D (72cm<sup style='font-size: smaller;'>3</sup>, 9cm<sup style='font-size: smaller;'>3</sup>)
- E (63cm<sup style='font-size: smaller;'>3</sup>, 9cm<sup style='font-size: smaller;'>3</sup>)
Question 25:
The square base of a pyramid of side 3cm has height 8cm. If the pyramid is cut into two parts by a plane parallel to the base midway between the base and the vertex, the volumes of the two sections are
- A (21cm<sup style='font-size: smaller;'>3</sup>, 3cm<sup style='font-size: smaller;'>3</sup>)
- B (24cm<sup style='font-size: smaller;'>3</sup>, 3cm<sup style='font-size: smaller;'>3</sup>)
- C (24cm<sup style='font-size: smaller;'>3</sup>, 21cm<sup style='font-size: smaller;'>3</sup>)
- D (72cm<sup style='font-size: smaller;'>3</sup>, 9cm<sup style='font-size: smaller;'>3</sup>)
- E (63cm<sup style='font-size: smaller;'>3</sup>, 9cm<sup style='font-size: smaller;'>3</sup>)