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Question 1
The diameter of a solid metallic right circular cylinder is equal to its height. After cutting out the largest possible solid sphere S from this cylinder, the remaining material is recast to form a solid sphere S1. What is the ratio of the radius of sphere S to the sphere S1?
Question 2
The perimeter of a triangle is 40 cm and the inradius of the triangle is 3.5 cm. What is the area of the triangle?
Question 3
Find the % age increase in volume of the right circular cone if both height and radius are increased by 10%.
Question 4
A metal wire when bent in the form of a square encloses an area 484 cm2. If the same wire is bent in the form of a circle, then (taking 
its area is
its area isQuestion 5
If the two parallel sides of a trapezium are 15 cm and 25 cm respectively and the distance between them is 7 cm, then the area of the trapezium is
Question 6
A farmer has two farms. One is circular in shape and other is square in shape. If total area of these farms is 5450 square m and diameter of the circular farm is 70 m. What is the length of wire needed by him if he wanted to fence both of his farms leaving 14 m space for the gate in each of the farms?
Question 7
The perimeters of two squares are 40 cm and 32 cm. The perimeter of a third square whose area is the difference of the area of two square, is
Question 8
The radius and height of a cylinder are in the ratio 5 : 7 and its volume is 550 cm3. Calculate its curved surface area in sq. cm?
Question 9
A right 
with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. What is the volume of the solid so obtained?
with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm. What is the volume of the solid so obtained? Question 10
12 spheres of the same size are made by melting a solid cylinder of 16 cm diameter and 2 cm height. The diameter of each sphere is
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May 5CDS & Defence
