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A cone of height 24 cm has a curved surface area 550 cm2. What is the ratio of its radius to slant height?   

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Important Questions on UPSC CDS (I) Previous Year Paper 2021

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UPSC CDS
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UPSC CDS Previous Year Papers>Chapter 9 - UPSC CDS (I) Previous Year Paper 2021>Elementary Mathematics>Q 69
A rectangular paper is 44 cm long and 22 cm wide. Let x be the volume of the largest cylinder formed by rolling the paper along its length and y be the volume of the largest cylinder formed by rolling the paper along its width. What is the ratio of x to y?
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UPSC CDS
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UPSC CDS Previous Year Papers>Chapter 9 - UPSC CDS (I) Previous Year Paper 2021>Elementary Mathematics>Q 70
A hollow spherical shell is made up of a metal of density 3 g/cm3. If the internal and external radii are 5 cm and 6 cm respectively, then what is the mass of the shell? Take π=227
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UPSC CDS
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UPSC CDS Previous Year Papers>Chapter 9 - UPSC CDS (I) Previous Year Paper 2021>Elementary Mathematics>Q 71
A cloth of 3 m width is used to make a conical tent 12 m in diameter with a slant height of 7 m. What is the length of the cloth? Take π=227
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UPSC CDS
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UPSC CDS Previous Year Papers>Chapter 9 - UPSC CDS (I) Previous Year Paper 2021>Elementary Mathematics>Q 72
A sphere of diameter 6 cm is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is 6 cm. If the sphere is completely submerged in water, then by how much will the surface level of water be raised?
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UPSC CDS
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UPSC CDS Previous Year Papers>Chapter 9 - UPSC CDS (I) Previous Year Paper 2021>Elementary Mathematics>Q 73
A sector is cut from a circle of radius 21 cm. If the length of the arc of the sector is 55 cm, then what is the area of the sector?
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UPSC CDS
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UPSC CDS Previous Year Papers>Chapter 9 - UPSC CDS (I) Previous Year Paper 2021>Elementary Mathematics>Q 74
A wire is in the form of a circle of radius 70 cm. If it is bent in the form of rhombus, then what is its side length?Take π=227
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UPSC CDS
IMPORTANT
UPSC CDS Previous Year Papers>Chapter 9 - UPSC CDS (I) Previous Year Paper 2021>Elementary Mathematics>Q 75
If the perimeter of a semicircular park is 360 m, then what is its area? Take π=227
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UPSC CDS
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UPSC CDS Previous Year Papers>Chapter 9 - UPSC CDS (I) Previous Year Paper 2021>Elementary Mathematics>Q 76
In a trapezium ABCD, AB is parallel to DC. The diagonals AC and BD intersect at P. If AP:PC=4:(4x-4) and BP:PD=(2x-1):(2x+4), then what is the value of x?