EASY
Earn 100

The circumference of a sphere whose surface area is equal to its volume is units.

(Use π = 3.14 an exact value is expected.)

50% studentsanswered this correctly

Important Questions on Surface Areas and Volumes

MEDIUM
The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 2 mm. The length of the wire is ______.
EASY

The volume of iron sphere and the volume of cylinder are numerically the same. Their radii are also the same. 

The height of cylinder=_____×radius

EASY
A solid metallic right circular cylinder has diameter 32 cm and height 9 cm. It is melted and recast into a solid sphere. What is the radius (in cm) of the sphere?
EASY
A conical shaped container, whose radius of base is r cm. and height is h cm., is full of water. A sphere of radius R is completely immersed in the container in such a way that the surface of sphere touches the base of the cone and its surfaces. The portion of water which comes out of the cone is_____.
EASY
A sphere of radius 6 cm is melted and recast into spheres of radius 2 cm each. How many such spheres can be made?
MEDIUM
The surface areas of two spheres are in the ratio 1:4. Then, the ratio of their volumes is
EASY
A solid metallic sphere of radius 10 cm is melted and recast into sphere of radius 2 cm each. How many such pairs can be made?
EASY

If radius of a sphere is rational, then which of the following is/are correct ?

1. Its surface area is rational.

2. Its volume is rational.

Select the correct answer using the code given below :

EASY
Twelve solid hemispheres of the same size are melted and recast in a right circular cylinder of diameter 7 cm and height 28 cm. What is the radius of the hemispheres?
EASY
If a radius of a sphere is increased by 4 cm, its surface area is increased by 464 π cm2. What is the volume (in cm3) of the original sphere?
EASY

The ratio of volume of a cube to that of a sphere which exactly fits inside the cube is

MEDIUM
A solid lead sphere of radius 11 cm is melted and recast into small solid spheres of radius 2 cm each. How many maximum number (in integer) of such spheres can be made?
EASY
A solid sphere of diameter 60 mm is melted to stretch into a wire of length 144 cm. What is the diameter of the wire?
MEDIUM
A cone is 8.4 cm high and the radius of its base is 2.1 cm. The cone is melted and recast into a sphere. Find the radius of the sphere.
EASY
A sphere of diameter 6 cm is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is 6 cm. If the sphere is completely submerged in water, then by how much will the surface level of water be raised?
HARD
A tank of length 21 dcm, breadth 11 dcm and 6 dcm deep is half-filled with water. If 100 solid iron balls of diameter 21 cm are completely immersed in the tank, then how much dcm of water level is raised?
EASY

If the diameter of sphere is 12 cm, then find the surface area and volume of the sphere.

EASY

The volume of sphere is 288π cm3. The radius of the sphere is 

EASY
A sphere of radius 7 cm is melted and recast into small spheres of radius 2 cm each. How many such spheres can be made?
EASY

By melting a solid cylinder of radius 3 cm and height 20 cm, five spherical balls each of same size are formed. Find the radius of each ball. 

(A) 2 cm

(B) 3 cm 

(C) 4 cm 

(D) 5 cm