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10th Karnataka State Board
IMPORTANT
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A tent of height 77 dm is in the form of aright angled circular cylinder of diameter 36 m and height 44 dm surmounted by a right circular cone. Find the cost of canvas at the rate of Rs.3.5 per m2.  

Important Questions on Surface Areas and Volumes

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10th Karnataka State Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 15 - Surface Areas and Volumes>Exercise>Q 22
A right circular cylinder of radius r cm and height h cm h>2r just encloses a sphere of diameter
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10th Karnataka State Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 15 - Surface Areas and Volumes>Exercise>Q 23
The diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 2 cm. The length of the wire is
EASY
10th Karnataka State Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 15 - Surface Areas and Volumes>Exercise>Q 24
In a right circular cone, the cross-section made by a plane parallel to the base is a 
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10th Karnataka State Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 15 - Surface Areas and Volumes>Exercise>Q 25
A cylindrical pencil sharpened at one edge is the combination of
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10th Karnataka State Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 15 - Surface Areas and Volumes>Exercise>Q 26
There is some water in cylindrical pot. A piece of iron in the form of a cone of diameter 28 cm and height 30 cm is fully immersed in water and the water level is increased by 6.4 cm . Find the diameter of the cylindrical pot?
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10th Karnataka State Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 15 - Surface Areas and Volumes>Exercise>Q 27
Each edge of a cube is 42 cm. Find the volume of the greatest right circular cone that can be obtained from cube.
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10th Karnataka State Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 15 - Surface Areas and Volumes>Exercise>Q 28
The radius of each 10 solid spherical metal balls is 7.5 cm. By melting these a hollow cylindrical tube 25 metre long is made. If the internal diameter of the tube is 4 cm , find the thickness of the tube
HARD
10th Karnataka State Board
IMPORTANT
Mathematics Crash Course (Based on Revised Syllabus-2023)>Chapter 15 - Surface Areas and Volumes>Exercise>Q 29

Jumbo circus team is a very famous circus company in south India. They roam around in the different parts of the counts and host the circus treat for the people. When they are settling at a place, they will erect their huge circus tent for performing the show and small tents for them to stay in those days. The stage tent consists of a cylinder capped by a cone.

Premium Vector | Circus tent isolated on white background

The height and radius of the base of a conical portion is 21 metre and 28 metre. The lower part of a tent is in the form of a right circular cylinder whose height is 32.5 metre. What will be the diameter of the cylinder and the total height of the tent?