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Quantitative Aptitude

VOLUME AND SURFACE AREA MCQs

Total Questions : 820 | Page 15 of 82 pages
Question 141. A copper rod of 1 cm diameter and 8 cm length is drawn into a wire of uniform diameter and 18 m length. The radius (in cm) of the wire, is :
  1.    $$\frac{1}{15}$$
  2.    $$\frac{1}{30}$$
  3.    $$\frac{2}{15}$$
  4.    $$15$$
 Discuss Question
Answer: Option B. -> $$\frac{1}{30}$$
Question 142. A conical tent is to accommodate 11 persons. Each person must have 4 sq. metres of the space on the ground and 20 cubic metres of air to breath. The height of the cone is :
  1.    13 m
  2.    14 m
  3.    15 m
  4.    16 m
 Discuss Question
Answer: Option C. -> 15 m
Question 143. A solid metallic cylinder of base radius 3 cm and height 5 cm is melted to form cones, each of height 1 cm and base radius 1 mm. The number of cones is :
  1.    450
  2.    1350
  3.    4500
  4.    13500
 Discuss Question
Answer: Option D. -> 13500
Question 144. If the radii of two spheres are in the ratio 1 : 4, then their surface areas are in the ratio :
  1.    1 : 2
  2.    1 : 4
  3.    1 : 8
  4.    1 : 16
 Discuss Question
Answer: Option D. -> 1 : 16
Question 145. The ratio of the volume of a cube to that of a sphere which will fit inside the cube is :
  1.    4 : 3π
  2.    4 : π
  3.    6 : π
  4.    2 : π
 Discuss Question
Answer: Option C. -> 6 : π
Question 146. A cylindrical tube open at both ends is made of metal. The internal diameter of the tube is 11.2 cm and its length is 21 cm. The metal everywhere is 0.4 cm thick. The volume of the metal is :
  1.    280.52 cm3
  2.    306.24 cm3
  3.    310 cm3
  4.    316 cm3
 Discuss Question
Answer: Option B. -> 306.24 cm3
Question 147. A cone of height 15 cm and base diameter 30 cm is carved out of a wooden sphere of radius 15 cm. The percentage of wood wasted is :
  1.    25%
  2.    40%
  3.    50%
  4.    75%
 Discuss Question
Answer: Option D. -> 75%
Question 148. A solid body is made up of a cylinder of radius r and height r, a cone of base radius r and height r fixed to the cylinder's one base and a hemisphere of radius r to its other base. The total volume of the body (given r = 2) is :
  1.    8π
  2.    16π
  3.    32π
  4.    64π
 Discuss Question
Answer: Option B. -> 16π
Question 149. The radius of base and curved surface area of a right cylinder is 'r' units and 4πrh square units respectively. The height of the cylinder is :
  1.    $$\frac{{\text{h}}}{2}$$ units
  2.    1h units
  3.    2h units
  4.    4h units
 Discuss Question
Answer: Option C. -> 2h units
Question 150. A rectangular paper of 44 cm long and 6 cm wide is rolled to form a cylinder of height equal to width of the paper. The radius of the base of the cylinder so rolled is :
  1.    3.5 cm
  2.    5 cm
  3.    7 cm
  4.    14 cm
 Discuss Question
Answer: Option C. -> 7 cm

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