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10th CBSE
IMPORTANT
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The internal and external diameters of a hollow hemispherical shell are 6 cmand 10 cm respectively. It is melted and recast into a solid cone of base diameter 14 cm. Find the height of the cone so formed.

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Important Questions on Surface Areas and Volumes

MEDIUM
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 12
A copper rod of diameter 2 cm and length 10 cm is drawn into a wire of uniform thickness and length 10 m. Find the thickness of the wire.
MEDIUM
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 13
A hemispherical bowl of internal diameter 30 cm contains some liquid. This liquid is to be filled into cylindrical-shaped bottles each of diameter 5 cm and height 6 cm. Find the number of bottles necessary to empty the bowl.
MEDIUM
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 14
[The difference between the outer and inner curved surface areas of a hollow right circular cylinder 14 cm long is 88 cm2. If the volume of metal used in making the cylinder is 176 cm, find the outer and inner diameters of the cylinder. (Use π=227)
MEDIUM
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 15
The Volume of a hemisphere is 242512cm3. If its curved surface area is k cm2, find k.
MEDIUM
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 16
A cylindrical bucket, 32 cm high and with radius of 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.
MEDIUM
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 17
If the total surface area of a solid hemisphere is 462 cm2, If its volume is k3 cm3, find k. (Take π = 22/7 )
MEDIUM
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 18
150 spherical marbles, each of diameter 1.4 cm are dropped in a cylindrical vessel of diameter 7 cm containing some water, which are completely immersed in water. Find the rise in the level of water in the vessel.
MEDIUM
10th CBSE
IMPORTANT
Modern's abc+ of Mathematics for Class 10>Chapter 13 - Surface Areas and Volumes>EXERCISE>Q 19
A cylindrical tank full of water is emptied by a pipe at the rate of 225 litres per minute. If k minutes it will take to empty half the tank, when the diameter of its base is 3 m and its height is 3.5 m, then find the value of k.  (Use π=227 )