MEDIUM
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Spherical Marbles of diameter 1.4 cm are dropped into a cylindrical beaker of diameter 7 cm, which contains some water. Find the number of marbles that should be dropped in to the beaker, so that water level rises by 5.6 cm

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Important Questions on Surface Areas and Volumes

MEDIUM
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:
MEDIUM
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:
MEDIUM
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?
EASY
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?
MEDIUM
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.
EASY
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:
MEDIUM
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
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)
HARD
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
HARD
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
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
Two cones have their heights in the ratio of 1:3 and radii in the ratio 3:1. What is the ratio of their volumes?
EASY

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
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_____.
EASY
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)
EASY

The lateral surface area of a cylinder is 352 cm2. If its height is 7 cm, then its volume (in cm3) is:

(Take π=227)

EASY
The ratio of the volumes of two cylinders is x:y and the ratio of their diameters is a:b. What is the ratio of their heights ?
MEDIUM
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
A cone of base radius 4 cm is divided into two parts by drawing a plane through the mid-point of its height and parallel to its base. Compare the volume of the two parts. 
MEDIUM
Water in a canal, 6 m wide and 1.5 m deep, is flowing with a speed of 10 km/hour. How much area will it irrigate in 30 minutes; if 8 cm standing water is needed? (write answer in m2)