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CDS || Mathematics || Mensuration || 14-03-2019

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Question 1

A rectangular area of 6 square metres is to be painted on a board leaving a border of uniform width on all sides. What should be the width of the border ?

Question 2

If the height of a cone is doubled, then its volume is increased by

Question 3

A solid cylinder has a total surface area of 231 m2. Its curved surface area is of the total surface area. The volume of the cylinder is

Question 4

The length, breadth and height of a box are respectively 14 m, 12 m and 13 m. The length of the longest rod that can be put into it, is

Question 5

The diagonals of three faces of a cuboid are respectively. What is the volume of the cuboid?

Question 6

If the number of square centimeters on the surface of a sphere is equal to the number of cubic centimeters in its volume. What is the diameter of the sphere?

Question 7

What is the volume of a cube (in cu cm) whose diagonal measures 4√3 cm?

Question 8

If two corresponding sides of two similar triangles are in the ratio 9 : 4, then what is the ratio of their areas?

Question 9

The difference of perimeter of a smaller circle and larger circle is 44 cm and the difference between area of these two circles is 594 cm2. Find the radius of the larger circle.(π = 22/7)

Question 10

Half of a large cylindrical tank open at the top is filled with water and identical heavy spherical balls are to be dropped into the tank without spilling water out. If the radius and the height of the tank are equal and each is four times the radius of a ball, what is the maximum number of balls that can be dropped ?
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