EASY
10th ICSE
IMPORTANT
Earn 100

The surface area of a solid sphere is increased by 21% without changing its shape. Find the percentage increase in its volume.

Important Questions on Cylinder, Cone and Sphere (Surface Area and Volume)

HARD
10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 1
A solid sphere of radius 15cm is melted and recast into solid right circular cones of radius 2.5cm and height 8cm.Calculate number of cones recast.
HARD
10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 2
A hollow sphere of internal and external diameter 4cm and 8cm respectively is melted into a cone of base diameter 8cm. Find the height of the cone.
EASY
10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 3
The radii of the internal and external surfaces of a metallic spherical shell are 3cm and 5cm respectively. It is melted and recast into a solid right circular cone of height 32cm. Find the diameter of the base of the cone.Use the π=227.
HARD
10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 4
Total volume of three identical cones is the same as that of a bigger cone whose height is 9cm and diameter 40cm. Find the radius of the base of each smaller cone, if height of each is 108cm.
HARD
10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 5
A solid rectangular block of metal 49cm by 44cm by 18cm is melted and formed into a solid sphere. Calculate the radius of the sphere.[π=22/7]
HARD
10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 6
A hemispherical bowl of internal raidus 9cm is full of liquid. This liquid is to be filled into conical shaped small containers each of diameter 3cm and height 4cm. How many containers are necessary to empty the bowl ?
HARD
10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 7
A hemispherical bowl of diameter 7.2cm is filled completely with chocolate sauce. This sauce is poured into an inverted cone of radius 4.8cm. Find the height of the cone if it is completely filled.
HARD
10th ICSE
IMPORTANT
Concise Mathematics>Chapter 20 - Cylinder, Cone and Sphere (Surface Area and Volume)>EXERCISE>Q 8
A solid cone of radius 5cm and height 8cm is melted and into small sphere of radius 0.5cm. Find the number of sphere formed.