EASY
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Calculate the volume of a hemisphere with radius 3.1 cm .        [Enter the value excluding units and up to three significant figures]

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Important Questions on Surface Areas and Volumes

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

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

EASY
The volume of sphere with unit radius is 43π cubic unit.
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
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 volume of a solid hemisphere is 144π cubic cm, then find the diameter of the sphere.

EASY

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

MEDIUM
The radius of a solid sphere is 6 centimetres. Find its volume and surface area.
 
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
A big sphere is made by melting down 64 small spheres, each of radius 2 cm. Find radius of the big sphere.
MEDIUM
A hemisphere pot with an internal radius of 9 cm is completely filled with water in cylindrical bottles with a diameter of 3 cm and height of 4 cm, then find the number of bottles to be required to make the pot empty.
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?
MEDIUM
Curved surface areas of two spheres are in a ratio 1:4. Find the ratio of their volumes.
EASY
If the radius of a sphere is twice that of the 1st sphere then the volume of the sphere will be twice that of the 1st sphere.
MEDIUM
The radius of a solid sphere is 6 centimetres. It is cut into two equal halves. What is the total surface area of each hemisphere? What is the volume of a hemisphere?
MEDIUM
A iron sphere of radius 8 cm is melted then recasted into small spheres each of radius 1 cm. Find the number of small spheres.
MEDIUM

Radius of a cylinder is equal to its height. If the radius is taken as ‘r’, the volume of the cylinder is πr2×r=πr3. Like this find the volumes of the solids, with the following measures.

Solids Measures Volume
Cone radius = height =r  
Hemisphere radius =r  
Sphere radius =r  

What is the ratio of the volumes of the cone, hemisphere, cylinder and the sphere?

HARD
A hemispherical tank full of water is emptied by a pipe at the rate of 347 litres per second. How much time will it take to empty half the tank , if it is 3m in diameter?
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