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Question 1

A cone and a cylinder with equal radii have equal volumes. The ratio of their heights is

Question 2

The curved surface area and circumference at the base of a solid right circular cylinder are 2200 cm2 and 110 cm, respectively. Find the height of the cylinder.

Question 3

A triangle and a parallelogram have the same base 28 cm and the same area. If the height of the parallelogram is 12 cm, then find the length of the altitude of the triangle.

Question 4

The perimeter of an equilateral triangle is 36 cm. What is the area of this triangle?

Question 5

The diagonal of a rectangle is 12 cm long, and it is twice as long as one of the sides of the rectangle. What is the area of this rectangle?

Question 6

A steel rod of 4 cm diameter and 14 cm length is used in the making of solid cubical dice. If the length of each side of each dice is 4 mm, then how many such dice can be made from this rod? [Use π = ]

Question 7

The length of each side of a square is 15 cm. What is the perimeter of the square?

Question 8

The breadth ‘b’ of a room is twice its height and half of its length. Find the length of the longest diagonal of the room.

Question 9

The circumference of the two circles is 110 cm and 330 cm respectively. What is the difference between their radii?

Question 10

The height of a right circular cone is 24 cm. If the radius of its base is 7 cm, then what will be the curved surface area of this cone? [Use π = ]
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Mar 24SSC & Railway