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A potato chip manufacturer made a cylindrical storage container with cardboard sides and plastic lids. If the diameter of the box is 28 inches and the size of the cardboard used per container is 22 square feet, then the capacity of the container is cubic feet.

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Important Questions on Mensuration

EASY
Mathematics>Geometry>Mensuration>Volume of Cube, Cuboid and Cylinder
An 18 m deep well with diameter 7 m is dug and the earth from digging is spread evenly to form a platform 18 m ×14m . The height of the platform is_____.
MEDIUM
Mathematics>Geometry>Mensuration>Volume of Cube, Cuboid and Cylinder
Let A and B be two cylinders such that the capacity of A is the same as the capacity of B. The ratio of the diameters of A and B is 1:4. What is the ratio of the heights of A and B?
MEDIUM
Mathematics>Geometry>Mensuration>Volume of Cube, Cuboid and Cylinder
The radius of the base of a right circular cylinder is 3 cm and its curved surface area is 60 πcm2. The volume of the cylinder (in cm3) is:
EASY
Mathematics>Geometry>Mensuration>Volume of Cube, Cuboid and Cylinder
A sphere of radius 6 cm is melted and recast into spheres of radius 2 cm each. How many such spheres can be made?
HARD
Mathematics>Geometry>Mensuration>Volume of Cube, Cuboid and Cylinder
In order to measure the volume of irregular shaped stone, Peter kept the stone in a water filled pan having a radius of 5 cm. If the level of water in the pan increases from 10 cm to 17 cm, then what is the volume of the stone? 
EASY
Mathematics>Geometry>Mensuration>Volume of Cube, Cuboid and Cylinder
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?
MEDIUM
Mathematics>Geometry>Mensuration>Volume of Cube, Cuboid and Cylinder
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
Mathematics>Geometry>Mensuration>Volume of Cube, Cuboid and Cylinder
The volume of a solid right circular cylinder is 5236 cm3, and its height is 34 cm. what is its curved surface area (in cm2 )? (Take π = 227)
MEDIUM
Mathematics>Geometry>Mensuration>Volume of Cube, Cuboid and Cylinder
A solid hemisphere is attached to the top of a cylinder, having the same radius as that of the cylinder. If the height of the cylinder were doubled (keeping both radii fixed), the volume of the entire system would have increased by 50%. By what percentage would the volume have increased if the radii of the hemisphere and the cylinder were doubled (keeping the height fixed)?
 
MEDIUM
Mathematics>Geometry>Mensuration>Volume of Cube, Cuboid and Cylinder
If the base radius of two cylinders are in ratio 3:4 and their heights are in ratio 4:9, then the ratio of their volumes is:
EASY
Mathematics>Geometry>Mensuration>Volume of Cube, Cuboid and Cylinder
60 discs each of diameter 21 cm and thickness 13 cm are stacked one above the other to form a right circular cylinder. What is its volume in m3 if π=227?
HARD
Mathematics>Geometry>Mensuration>Volume of Cube, Cuboid and Cylinder
Given are three cylindrical buckets X,Y,Z whose circular bases are of radii 1,2,3 units, respectively. Initially water is filled in these buckets upto the same height. Some water is then transferred from Z to X so that they both have the same volume of water. Some water is then transferred between X and Y so that they both have the same volume of water. If hY,hZ denote the heights of water at this stage in the buckets Y, Z, respectively, then the ratio hYhZ equals
EASY
Mathematics>Geometry>Mensuration>Volume of Cube, Cuboid and Cylinder
Find the weight of a solid cylinder of height 35 cm and radius 14 cm, if the material of the cylinder weighs 8 gmcm3 _____.
EASY
Mathematics>Geometry>Mensuration>Volume of Cube, Cuboid and Cylinder
A cylindrical vessel of radius 3.5 m is full of water. If 15400 litres of water is taken out from it, then drop in the water level in the vessel will be:
EASY
Mathematics>Geometry>Mensuration>Volume of Cube, Cuboid and Cylinder

The radius of the base of a cylinder is 14 cm and its curved surface area is 880 cm2. Its volume (in cm3) is______.

(Take π=227)

EASY
Mathematics>Geometry>Mensuration>Volume of Cube, Cuboid and Cylinder
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
Mathematics>Geometry>Mensuration>Volume of Cube, Cuboid and Cylinder
The radius of base of cylinder is 14 cm and its volume is 6160 cm3. The curved surface area (in cm2) is _____. (Take π=227)
MEDIUM
Mathematics>Geometry>Mensuration>Volume of Cube, Cuboid and Cylinder
A cylindrical vessel of radius 30 cm  and height 42 cm is full of water. Its contents are emptied into a rectangular tub of length 75 cm and breadth 44 cm. The height (in cm) to which the water rises in the tub is: (Take π=227)
EASY
Mathematics>Geometry>Mensuration>Volume of Cube, Cuboid and Cylinder

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 

MEDIUM
Mathematics>Geometry>Mensuration>Volume of Cube, Cuboid and Cylinder
A well of diameter 3 m is dug 14 m deep. The Earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 4 m to form an embankment. Find the height of the embankment.