Quiz

Question:

  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.

Options:
A.5 cm
B.10 cm
C.15 cm
D.20 cm
Answer: Option C

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Question 1.

  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.

Options:
  1.    Rs 1536
  2.    Rs 1658
  3.    Rs 1782
  4.    Rs 1964
Answer: Option C
Question 2.

  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.

Options:
  1.    1 : 3
  2.    3 : 1
  3.    2 : 3
  4.    3 ; 2
Answer: Option B
Question 3.

  1. There are two cones. The curved surface area of one is twice that of the other. The slant height of the latter is twice that of the former. Find the ratio of their radii.

Options:
  1.    1 : 4
  2.    4 : 1
  3.    1 :7
  4.    7 : 1
Answer: Option B
Question 4.

  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

Options:
  1.    20 cm
  2.    30 cm
  3.    40 cm
  4.    50 cm
Answer: Option C
Question 5.

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

Options:
  1.    4500 cm3
  2.    5000 cm3
  3.    5500 cm3
  4.    6000 cm3
Answer: Option B
Question 6.

  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.)

Options:
  1.    Rs  223
  2.    Rs 228
  3.    Rs 233
  4.    Rs 243
Answer: Option C