Jamb Mathematics Questions - Surface areas and Volumes of simple solids
Question 16:
A solid sphere of radius 3cm, a solid right cone of radius 3cm and height 12cm and a solid right circular cycular of radius 3cm and height 4cm.Which of the following statements is true?
- A The volume of the sphere is greater than the volume of the cone
- B The volume of the cone is less than the volume of the cylinder
- C The total surface area of the cone is greater than that of the sphere
- D The total surface area of the cylinder is less than that of the sphere
- E The total sufeac area of the cone is equal to that of the cylinder
Question 17:
A steel ball of radius 1 cm is dropped into a cylinder of radius 2cm and height 4cm. If the cylinder is now filled with water, what is the volume of the water in the cylinder?
- A \(\frac{44}{3}\)\(\pi\)cm<sup style='font-size: smaller;'>3</sup>
- B 12\(\pi\)cm<sup style='font-size: smaller;'>3</sup>
- C \(\frac{38}{3}\)\(\pi\)cm<sup style='font-size: smaller;'>3</sup>
- D \(\frac{40}{3}\)\(\pi\)cm<sup style='font-size: smaller;'>3</sup>
- E \(\frac{32}{33}\)\(\pi\)cm<sup style='font-size: smaller;'>3</sup>
Question 18:
A cylinder of height h and radius r is open at one end. Its surface area is
- A 2\(\pi\)rh
- B \(\pi\)r<sup style='font-size: smaller;'>2</sup>h
- C 2\(\pi\)rh + \(\pi\)r<sup style='font-size: smaller;'>2</sup>
- D 2\(\pi\)rh + 2\(\pi\)r<sup style='font-size: smaller;'>2</sup>
Question 19:
A solid cylinder of radius 3cm has a total surface area of 36\(\pi\)cm2. Find its height
- A 2cm
- B 3cm
- C 4cm
- D 5cm
- E 6cm
Question 20:
Find the area of the curved surface of a cone whose base radius is 6cm and whose height is 8cm. (take \(\pi\) = \(\frac{22}{7}\))
- A 188.57cm<sup style='font-size: smaller;'>2</sup>
- B 1320cm<sup style='font-size: smaller;'>2</sup>
- C 188cm<sup style='font-size: smaller;'>2</sup>
- D 188.08cm<sup style='font-size: smaller;'>2</sup>
- E 10cm<sup style='font-size: smaller;'>2</sup>