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Quantitative Aptitude

VOLUME AND SURFACE AREA MCQs

Total Questions : 820 | Page 12 of 82 pages
Question 111. If the radius of the base of a right circular cylinder is halved, keeping the height same, what is the ratio of the volume of the reduced cylinder to that of the original one ?
  1.    1 : 2
  2.    1 : 4
  3.    1 : 8
  4.    8 : 1
 Discuss Question
Answer: Option B. -> 1 : 4
Question 112. The radius of the base and height of a metallic solid cylinder are r cm and 6 cm respectively. It is melted and recast into a solid cone of the same radius of base. The height of the cone is :
  1.    9 cm
  2.    18 cm
  3.    27 cm
  4.    54 cm
 Discuss Question
Answer: Option B. -> 18 cm
Question 113. A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone. The volume of the cone so formed is :
  1.    12π cm3
  2.    15π cm3
  3.    16π cm3
  4.    20π cm3
 Discuss Question
Answer: Option A. -> 12π cm3
Question 114. For a sphere of radius 10 cm, What percent of the numerical value of its volume would be the numerical value of the surface area ?
  1.    24%
  2.    26.5%
  3.    30%
  4.    45%
 Discuss Question
Answer: Option C. -> 30%
Question 115. How many lead shots each 3 mm in diameter can be made from a cuboid of dimensions 9 cm × 11 cm × 12 cm ?
  1.    7200
  2.    8400
  3.    72000
  4.    84000
 Discuss Question
Answer: Option D. -> 84000
Question 116. A metallic sphere of radius 5 cm is melted to make a cone with base of the same radius. What is the height of the cone ?
  1.    5 cm
  2.    10 cm
  3.    15 cm
  4.    20 cm
 Discuss Question
Answer: Option D. -> 20 cm
Question 117. Base of a right prism is a rectangle, the ratio of whose length and breadth is 3 : 2. If the height of the prism is 12 cm and total surface area is 288 sq.cm the volume of the prism is :
  1.    291 cm3
  2.    288 cm3
  3.    290 cm3
  4.    286 cm3
 Discuss Question
Answer: Option B. -> 288 cm3
Question 118. A hemisphere of lead of radius 6 cm is cast into a right circular cone of height 75 cm. The radius of the base of the cone is :
  1.    1.4 cm
  2.    2 cm
  3.    2.4 cm
  4.    4.2 cm
 Discuss Question
Answer: Option C. -> 2.4 cm
Question 119. A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm, how much soup the hospital has to prepare daily to serve 250 patients ?
  1.    38L
  2.    40L
  3.    39.5L
  4.    38.5L
 Discuss Question
Answer: Option D. -> 38.5L
Question 120. The breadth of a room is twice its height and half its length. The volume of the room is 512 cu.m. The length of the room is :
  1.    16 m
  2.    18 m
  3.    20 m
  4.    32 m
 Discuss Question
Answer: Option A. -> 16 m

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