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10th CBSE
IMPORTANT
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The diameters of the internal and external surface area of hollow spherical shell are 6 cm and 10 cm respectively. If it is melted and recast into a solid cylinder of length of 223cm, find the diameter of the cylinder.

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Important Questions on Surface Areas and Volumes

EASY
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 19
How many coins 1.75 cm in diameter and 2 mm thick must be melted to form a cuboid 11 cm×10 cm×7 cm? (Take π=227). 
EASY
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 20
The surface area of the solid metallic sphere is 616 cm³. It is melted and recast into a cone of height 28 cm. The diameter of the base of the cone so formed is k cm. Find the value of k. (Use π=227).
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 21
A cylindrical bucket, 32 cm high and with a radius of the base 18 cm is filled with sand. This bucket is emptied out 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. 
EASY
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 22
A solid metallic sphere of radius 5.6 cm is melted and solid cones each of radius 2.8 cm and height 3.2 cm are made. Find the number of such cones formed.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 23
A solid cuboid of iron with dimensions 53 cm×40 cm×15 cm is melted and recast into a cylindrical pipe. The outer and inner diameters of pipe are 8 cm and 7 cm, respectively. If the length (correct up to two places of decimal) of the pipe is k cm, then find k. (Take π=227)
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 24
The diameter of the internal and external surfaces of a hollow spherical shell are 6 cm and 10 cm respectively. If it is melted and recast into a solid cylinder of diameter 14 cm, If the height of the cylinder is k3 cm, find k. 
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 25
A hollow sphere of internal and external diameters 4 cm and 8 cm is melted into a cone of base diameter 8 cm. If the height of the cone is k cm, find k.
HARD
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 14 - Surface Areas and Volumes>EXERCISE 14.1>Q 26
A hollow sphere of internal and external radii 2 cm and 4 cm respectively is melted into a cone of base radius 4 cm. Find the height and slant height of the cone.