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Question 1
A figure is formed by revolving a rectangular sheet of dimensions 7 cm × 4 cm about its length. What is the volume of the figure thus formed?
Question 2
The circumference of the base of a 16cm height solid cone is 33cm. What is the volume of the cone in cm3?
Question 3
The length and breadth of a rectangular field are in the ratio 7 : 4. A path 4 m wide running all round outside has an area of 416 m2. The breadth (in m) of the field is
Question 4
If the height of a cone is increased by 100% then its volume is increased by:
Question 5
The length of a minute hand of a clock is 7cm. The area swept by the minute hand in 30 minutes is :
Question 6
The areas of a square and a rectangle are equal. The length of the rectangle is greater than the length of a side of the square by 5 cm and the breadth is less than the length of the side of the square by 3 cm. The perimeter of the rectangle is
Question 7
The length of a room floor exceeds its breadth by 20 m. The area of the floor remains unaltered when the length is decreased by 10 m but the breadth is increased by 5 m. The area of the floor (in square metres) is:
Question 8
The curved surface of a cylindrical pillar is 264 m2 and its volume is 924 m3. The ratio of its diameter to its height is 
Question 9
If the total surface area of a hemisphere is 27π square cm, then the radius of the base of the hemisphere is
Question 10
If curved surface area of a cylinder is 1386 sq cm and height is 21 cm, what will be its radius? (Take π = 22/7)
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Feb 8CDS & Defence
