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Quantitative Aptitude

VOLUME AND SURFACE AREA MCQs

Total Questions : 820 | Page 14 of 82 pages
Question 131. If the volume of a sphere is divided by its surface area, the result is 27 cm. The radius of the sphere is :
  1.    9 cm
  2.    36 cm
  3.    54 cm
  4.    81 cm
 Discuss Question
Answer: Option D. -> 81 cm
Question 132. A sphere and a cube have equal surface area. The ratio of the volume of the sphere to that of the cube is :
  1.    $$\sqrt \pi :\sqrt 6 $$
  2.    $$\sqrt 2 :\sqrt \pi $$
  3.    $$\sqrt \pi :\sqrt 3 $$
  4.    $$\sqrt 6 :\sqrt \pi $$
 Discuss Question
Answer: Option D. -> $$\sqrt 6 :\sqrt \pi $$
Question 133. Some solid metallic right circular cones, each with radius of the base 3 cm and height 4 cm, are melted to form a solid sphere of radius 6 cm. The number of right circular cones is :
  1.    6
  2.    12
  3.    24
  4.    48
 Discuss Question
Answer: Option C. -> 24
Question 134. If the radius of the base and height of a cylinder and cone are each equal to r, and the radius of a hemisphere is also equal to r, then the volumes of the cone, cylinder and hemisphere are in the ratio ?
  1.    1 : 2 : 3
  2.    1 : 3 : 2
  3.    2 : 1 : 3
  4.    3 : 2 : 1
 Discuss Question
Answer: Option B. -> 1 : 3 : 2
Question 135. The radius of a cylinder is 5 m more than its height. If the curved surface area of the cylinder is 792 m2, what is the volume of the cylinder ?
  1.    5712 m3
  2.    5244 m3
  3.    5544 m3
  4.    5306 m3
  5.    5462 m3
 Discuss Question
Answer: Option C. -> 5544 m3
Question 136. The radius of a sphere is equal to the radius of the base of a right circular cone, and the volume of the sphere is double the volume of the cone. The ratio of the height of the cone to the radius of its base is :
  1.    2 : 1
  2.    1 : 2
  3.    2 : 3
  4.    3 : 2
 Discuss Question
Answer: Option A. -> 2 : 1
Question 137. The dimensions of an open box are 52 cm × 40 cm × 29 cm. It thickness is 2 cm. If 1 cu.cm of metal used in the box weight 0.5 gm, then the weight of the box is :
  1.    6.832 kg
  2.    7.576 kg
  3.    7.76 kg
  4.    8.56 kg
 Discuss Question
Answer: Option A. -> 6.832 kg
Question 138. Except for one face of a given cube, identical cubes are glued through their faces to all the other faces of the given cube. If each side of the given cube measures 3 cm, then what is the total surface area of the solid body thus formed ?
  1.    225 cm2
  2.    234 cm2
  3.    270 cm2
  4.    279 cm2
 Discuss Question
Answer: Option B. -> 234 cm2
Question 139. The capacity of a cylindrical tank is 246.4 litres. If the height is 4 metres, what is the diameter of the base ?
  1.    1.4 cm
  2.    2.8 cm
  3.    14 cm
  4.    28 cm
  5.    None of these
 Discuss Question
Answer: Option D. -> 28 cm
Question 140. If the height of a cylinder is increased by 15 percent and the radius of its base is decreased by 10 percent then by what percent will its curved surface area change ?
  1.    3.5% decrease
  2.    3.5% increase
  3.    5% decrease
  4.    5% increase
 Discuss Question
Answer: Option B. -> 3.5% increase

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