HARD
10th CBSE
IMPORTANT
Earn 100

A well of diameter 3 m is dug 14 m deep. The earth taken out of it is spread evenly all around it to a width of 4 m to form an embankment. Find the height of the embankment.

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Important Questions on Surface Areas and Volumes

HARD
10th CBSE
IMPORTANT
A conical vessel whose internal radius is 10 cm and height 48 cm is full of water. If this water is poured into a cylindrical vessel with an internal radius 20 cm, find the height to which the water level rises in it.
HARD
10th CBSE
IMPORTANT

The vertical height of a conical tent is 42 dm and the diameter of its base is 5.4 m. Find the number of persons it can accommodate if each person is to be allowed 29.16 cubic dm(Take π=22/7)

HARD
10th CBSE
IMPORTANT
A right circular cylinder and a right circular cone have equal bases and equal heights. If their curved surfaces are in the ratio 8:5, determine the ratio of the radius of the base to the height of either of them.
HARD
10th CBSE
IMPORTANT
A sphere of diameter 5 cm is dropped into a cylindrical vessel partly filled with water. The diameter of the base of the vessel is 10 cm. If the sphere is completely submerged, the water level rises by x cm, then find the value of x in fraction.
MEDIUM
10th CBSE
IMPORTANT
A spherical ball of iron has been melted and made into smaller balls. If the radius of each smaller ball is one-fourth of the radius of the original one, how many such balls can be made?
MEDIUM
10th CBSE
IMPORTANT

If the depth of a cylindrical tank of radius 28 m is x m and its capacity is equal to that of a rectangular tank of size 28 m×16 m×11 m, then find the value of xTake, π=227

HARD
10th CBSE
IMPORTANT
A hemispherical bowl of internal radius 15 cm contains a liquid. The liquid is to be filled into cylindrical-shaped bottles of diameter 5 cm and height 6 cm. How many bottles are necessary to empty the bowl?
HARD
10th CBSE
IMPORTANT
In a cylindrical vessel of diameter 24 cm, filled up with a sufficient quantity of water, a solid spherical ball of radius 6 cm is completely immersed. Find the increase in height of the water level.