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10th Tamil Nadu Board
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As shown in figure a cubical block of side 7 cm is surmounted by a hemisphere. If the surface area of the solid is A cm2, then find the value of A.

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Important Questions on Mensuration

MEDIUM
10th Tamil Nadu Board
IMPORTANT
Mathematics Standard 10>Chapter 7 - Mensuration>Exercise 7.3>Q 7
A right circular cylinder just enclose a sphere of radius r units. Calculate the surface area of the sphere, the curved surface area of the cylinder and the ratio of the areas obtained.
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10th Tamil Nadu Board
IMPORTANT
Mathematics Standard 10>Chapter 7 - Mensuration>Exercise 7.4>Q 1
An aluminium sphere of radius 12 cm is melted to make a cylinder of radius 8 cm. The height of the cylinder is k cm. Find the value of k.
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10th Tamil Nadu Board
IMPORTANT
Mathematics Standard 10>Chapter 7 - Mensuration>Exercise 7.4>Q 2
Water is flowing at the rate of 15 km per hour through a pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44 m wide. The time in which the level of water in the tanks will rise by 21 cm is k hours. Find the value of k.
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10th Tamil Nadu Board
IMPORTANT
Mathematics Standard 10>Chapter 7 - Mensuration>Exercise 7.4>Q 3
A conical flask is full of water. The flask has base radius r units and height h units, the water poured into a cylindrical flask of base radius xr units. The height of water in the cylindrical flask is hkx2 units. Find the value of k.
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10th Tamil Nadu Board
IMPORTANT
Mathematics Standard 10>Chapter 7 - Mensuration>Exercise 7.4>Q 4
A solid right circular cone of diameter 14 cm and height 8 cm is melted to form a hollow sphere. If the external diameter of the sphere is 10 cm, then the internal diameter is k cm. Find the value of k.
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10th Tamil Nadu Board
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Mathematics Standard 10>Chapter 7 - Mensuration>Exercise 7.4>Q 5
Seenu's house has an overhead tank in the shape of a cylinder. This is filled by pumping water from a sump (underground tank) which is in the shape of a cuboid. The sump has dimensions 2 m×1.5 m×1 m. The overhead tank has its radius of 60 cm and height105 cm. The volume of the water left in the sump after the overhead tank has been completely filled with water from the sump which has been full, initially is k cm3. Find the value of k.
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10th Tamil Nadu Board
IMPORTANT
Mathematics Standard 10>Chapter 7 - Mensuration>Exercise 7.4>Q 6

The internal and external diameter of a hollow hemispherical shell are 6 cm and 10 cm respectively. If it is melted and recast into a solid cylinder of diameter 14 cm, the height of the cylinder is k cm. Find the value of k.

MEDIUM
10th Tamil Nadu Board
IMPORTANT
Mathematics Standard 10>Chapter 7 - Mensuration>Exercise 7.4>Q 7
A solid sphere of radius 6 cm is melted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, then find the thickness of the cylinder.