MEDIUM
10th CBSE
IMPORTANT
Earn 100

Out of a solid cube of side 28 cm the largest possible sphere is carved out. Find the Volume of the sphere to the first place of decimal.

Important Questions on Surface Areas and Volumes

MEDIUM
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 20

A toy is in the form of a hemisphere surmounted by a right circular cone of the same base radius as that of the hemisphere. If the radius of the base of the cone is 21 cm and its volume is 23 of the volume of the hemisphere, calculate the height of the cone and surface area of the toy. (Use π=227 )

MEDIUM
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 21
A solid is in the shape of a cone surmounted on a hemisphere, the radius of each of them being 3.5 cm and the total height of the solid is 9.5 cm. If the volume of the solid is k cm3, then find the value of k upto two decimal places. (Take π=227)
MEDIUM
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 28
A metallic cylinder has radius 3 cm and height 5 cm. To reduce its weight a conical hole is drilled in the cylinder. The conical hole has a radius of 32 cm and its depth is 89 cm. Calculate the ratio of the volume of metal left in the cylinder to the volume of metal taken out in conical shape. ( Use π=227 )
MEDIUM
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 1
The dimensions of a metallic cuboid are 100 cm×80 cm×64 cm. It is melted and recast into a cube. If the surface area of the cube is k cm2, then find the value of k. 
MEDIUM
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 2
A cone of height 20 cm and radius of base 5 cm is made up of modelling clay. A child reshapes it in the form of a sphere. If the diameter of the sphere is k cm, then find the value of k. 
MEDIUM
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 3
Metallic spheres of radii 6 cm, 8 cm and 10 cm respectively are melted to form a single solid sphere. If the radius of the resulting sphere is k cm, then find the value of k.
MEDIUM
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 4
A solid metal cone with radius of base 12 cm and height 24 cm is melted to form solid spherical balls of diameter 6 cm each. Find the number of balls thus formed.
MEDIUM
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>CHAPTER TEST>Q 7
A tent is in the form of a right circular cylinder surmounted by a cone. The diameter of the base of a cylinder and the cone is 24 m. The height of the cylinder is 11 m. If the vertex of the cone is 16 m above the ground, find the area of the canvas required for making the tent. (Write the answser without unit)