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10th Telangana Board
IMPORTANT
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A sphere, a cylinder and a cone have the same radius and same height. Find the ratio of their volumes. 
[Hint: Diameter of the sphere is equal to the heights of the cylinder and the cone.]

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Important Questions on Mensuration

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10th Telangana Board
IMPORTANT
Mathematics Class 10>Chapter 10 - Mensuration>Exercise>Q 7
A hemisphere is cut out from one face of a cubical wooden block such that the diameter of the hemisphere is equal to the side of the cube. Determine the total surface area of the remaining solid.
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10th Telangana Board
IMPORTANT
Mathematics Class 10>Chapter 10 - Mensuration>Exercise>Q 8

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in the figure. If the height of the cylinder is 10 cm and its radius of the base is of 3.5 cm, find the total surface area of the article.

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10th Telangana Board
IMPORTANT
Mathematics Class 10>Chapter 10 - Mensuration>Try This>Q 1
If the diameter of the cross-section of a wire is decreased by 5%, by what percentage should the length be increased so that the volume remains the same?
(Express the result in mixed fraction).
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10th Telangana Board
IMPORTANT
Mathematics Class 10>Chapter 10 - Mensuration>Try This>Q 2
Surface areas of a sphere and cube are equal. Then the ratio of their volumes is a : π .Find a
MEDIUM
10th Telangana Board
IMPORTANT
Mathematics Class 10>Chapter 10 - Mensuration>Exercise>Q 1
An iron pillar consists of a cylindrical portion of 2.8 m height and 20 cm in diameter and a cone of 42 cm height surmounting it. Find the weight of the pillar in kg, if 1 cm3 of iron weighs 7.5 g.
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10th Telangana Board
IMPORTANT
Mathematics Class 10>Chapter 10 - Mensuration>Exercise>Q 2
A toy is made in the form of hemisphere surmounted by a right cone whose circular base is joined with the plane surface of the hemisphere. The radius of the base of the cone is 7 cm and its volume is 32 of the hemisphere. Calculate the height of the cone and the surface area of the toy correct to 2 places of decimal. (Takeπ=317).
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10th Telangana Board
IMPORTANT
Mathematics Class 10>Chapter 10 - Mensuration>Exercise>Q 3
Find the volume of the largest right circular cone that can be cut out of a cube whose edge is 7 cm in cm3.
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10th Telangana Board
IMPORTANT
Mathematics Class 10>Chapter 10 - Mensuration>Exercise>Q 4
A cylindrical mug of radius 5 cm and height 9.8 cm is full of water. A solid in the form of right circular cone mounted on a hemisphere is immersed into the mug. The radius of the hemisphere is 3.5 cm and height of conical part 5 cm. Find the volume of water left in the tub. (Takeπ=227)