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10th CBSE
IMPORTANT
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A spherical ball of radius 3 cm is melted and recast into three spherical balls. The radii of two of the balls are 1.5 cm and 2 cm. If the diameter of the third ball is k cm, then find k.

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Important Questions on Surface Areas and Volumes

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10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 28
A path 2 m wide surrounds a circular pond of a diameter of 40 m. If k cubic meters of gravel are required to grave the path to a depth of 20 cm , then find k(correct up to two places of decimal).(Take π=3.14)
EASY
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 29
A 16 m deep well with diameter 3.5 m is dug up and the earth from it is spread evenly to form a platform 27.5 m by 7 m. If the height of the platform is k cm, find the value of k to the nearest integer.
EASY
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 30
A well of diameter 2 m is dug 14 m deep. The earth taken out of it is evenly spread all around it to form an embankment of height 40 cm. If the width of the embankment is x m, then find x.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 31
A well with inner radius 4 m is dug 14 m deep. Earth taken out of it has been spread evenly all around a width of 3 m it to form an embankment. If the height of the embankment is h m, then find h.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 32
A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around it to a width of 4 m to form an embankment. If the height of the embankment is h m, then find h.
EASY
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 33
The volume of largest right circular cone that can be cut out of a cube whose edge is 9 cm; be k cm3, then find k.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 34
A cylindrical bucket, 32 cm high and 18 cm of the radius of the base, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is 24 cm, find the radius and slant height of the heap. 
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 35
Rain water which falls on a flat rectangular surface of length 6 m and breadth 4 m is transferred into a cylindrical vessel of internal radius 20 cm .If the height of water in the cylindrical vessel is k cm when a rainfall of 1 cm has fallen, then Find k to its nearest integral value.