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Question 1
If the curved surface area of a right circular cone is 2310 sq cm and its slant height is 35 cm, find its total surface area? (Take n = 22/7)
Question 2
A cow is tied on the corner of a rectangular field of size 30 m × 20 m by a 14 m long rope. The area of the region, that she can graze, is 
:
:Question 3
Three solid spheres of radius 3 cm, 4 cm and 5 cm are melted and recasted into a solid sphere. What will be the percentage decrease in the surface area?
Question 4
In the given figure, ABCDEF is a regular hexagon of side 12 cm. P,Q and R are the mid points of the sides AB, CD and EF respectively. What is the area (in cm2) of triangle PQR?
Question 5
A spherical lead ball of radius 10 cm is melted and small lead balls of radius 5 mm are made. The total number of possible small lead balls is (Take 
)
)Question 6
The radius of a cone is 
times the height of the cone. A cube of maximum possible volume is cut from the same cone. What is the ratio of the volume of the cone to the volume of the cube?
times the height of the cone. A cube of maximum possible volume is cut from the same cone. What is the ratio of the volume of the cone to the volume of the cube? Question 7
If the radius of the cylinder is decreased by 20%, then by how much percent the height must be increased, so that the volume of the cylinder remains same?
Question 8
The maximum length of a pencil that can be kept in a rectangular box of dimensions 8cm × 6cm × 2cm is
Question 9
The ratio of the base to the height of right angled triangle is 5 : 4 if the area of right angled triangle is 160 cm^2 , what is the height of triangle ?
Question 10
An inverted conical shaped vessel is filled with water to its brim. The height of the vessel is 8 cm and radius of the open end is 5 cm. When a few solid spherical metallic balls each of radius 1/2 cm are dropped in the vessel, 25% water is overflowed. The number of balls is:
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May 11CDS & Defence
