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Quantitative Aptitude

VOLUME AND SURFACE AREA MCQs

Total Questions : 820 | Page 6 of 82 pages
Question 51.

  1. Two cones have their heights in the ratio 1 : 3 and radii of their bases in the ratio 3 : 1. Find the ratio of their volumes.

  1.    1 : 3
  2.    3 : 1
  3.    2 : 3
  4.    3 ; 2
 Discuss Question
Answer: Option B. -> 3 : 1
Question 52.

  1. A tent of canvas is in the form of a cone resting on a cylinder 2 metres high and 6 metres in diameter and the vertex of the cone is 6 metres above the ground. Find the cost of canvas at Rs 21 per square metre.

  1.    Rs 1536
  2.    Rs 1658
  3.    Rs 1782
  4.    Rs 1964
 Discuss Question
Answer: Option C. -> Rs 1782
Question 53.

  1. The material of a cone is converted into the shape of a cylinder of equal radius. Find the height of the cone, if the height of the cylinder is 5 cm.

  1.    5 cm
  2.    10 cm
  3.    15 cm
  4.    20 cm
 Discuss Question
Answer: Option C. -> 15 cm
Question 54.

  1. The area of the curved surface of a cylinder is 4400 cm2 and the circumference of its base is 110 cm. The height of the cylinder is

  1.    20 cm
  2.    30 cm
  3.    40 cm
  4.    50 cm
 Discuss Question
Answer: Option C. -> 40 cm
Question 55.

  1. A cylinder has a diameter of 20 cm. The area of the curved surface is 1000 cm2. The volume of the cylinder is

  1.    4500 cm3
  2.    5000 cm3
  3.    5500 cm3
  4.    6000 cm3
 Discuss Question
Answer: Option B. -> 5000 cm3
Question 56.

  1. A cylindrical vessel without a lid, has to be tin-coated on both its sides. If the radius of its base is\(\frac{1}{2}\)m and its height is 1.4 m, the cost of tin-coating at the rate of Rs 2.25 per 1000 cm2 is (approx.)

  1.    Rs  223
  2.    Rs 228
  3.    Rs 233
  4.    Rs 243
 Discuss Question
Answer: Option C. -> Rs 233
Question 57.

  1. The curved surface of a cylindrical pillar is 264 m2 and its volume is 924 m3. The diameter of the pillar is

  1.    10 m
  2.    12 cm
  3.    14 m
  4.    16 m
 Discuss Question
Answer: Option C. -> 14 m
Question 58.

  1. The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their volumes is

  1.    20 : 27
  2.    27 : 20
  3.    37 : 40
  4.    40 : 37
 Discuss Question
Answer: Option A. -> 20 : 27
Question 59.

  1. A cylindrical tank has a capacity of 6160 m3. If the diameter of the base is 28 m, then the depth of the tank is

  1.    5 m
  2.    10 m
  3.    15 m
  4.    20 m
 Discuss Question
Answer: Option B. -> 10 m
Question 60.
  1. A cast iron pipe has an external diameter of 75 mm. If it is 4.2 m long then the area of the outer surface is

  1.    9300 cm2
  2.    9500 cm2
  3.    9700 cm2
  4.    9900 cm2
 Discuss Question
Answer: Option D. -> 9900 cm2

The area of the outer surface of a cast iron pipe can be calculated using the formula for the area of a circle, A = πr^2.

• In this question, the external diameter of the pipe is given to be 75 mm.
• To calculate the area of the outer surface, we need to first convert the diameter of the pipe from mm to cm.
• As 1 cm = 10 mm, the external diameter of the pipe is 7.5 cm.
• The radius of the pipe can be calculated using the formula for the radius of a circle, r = D/2.
• Therefore, the radius of the pipe is 7.5/2 = 3.75 cm.
• Now, the area of the outer surface of the pipe can be calculated using the formula for the area of a circle, A = πr^2.
• Substituting the value of the radius into the formula, we get A = 3.14 × 3.75^2 = 44.75 cm^2.
• Since the length of the pipe is given to be 4.2 m, the area of the outer surface of the pipe can be calculated by multiplying the area of a single pipe by the length of the pipe.
• Therefore, the area of the outer surface of the pipe is 44.75 × 4.2 = 9900 cm^2.

Hence, the correct answer is Option D. 9900 cm^2.

If you think the solution is wrong then please provide your own solution below in the comments section .

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