The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. What is the ratio of their volumes?
Correct answer D. 20 : 27
Topic / 64 questions
Volume and Surface Area MCQs
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A conical tent has a base radius of 7 m and a height of 24 m. What is the cost of the canvas needed for its curved surface at Rs. Taking π = 22/7, 60 per square metre?
Correct answer C. Rs. 33,000
A well of diameter 7 m is dug 20 m deep and the earth taken out is spread evenly over a field 55 m long and 28 m wide. Taking π = 22/7, by how many centimetres is the level of the field raised?
Correct answer B. 50 cm
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During a storm, 5 cm of rain falls on a flat roof 22 m long and 20 m wide. All the water drains into a cylindrical tank of base radius 1 m. Taking π = 22/7, how high does the water rise in the tank?
Correct answer A. 7 m
A cylindrical tank of height 20 m has a curved surface area of 1760 sq m. Taking π = 22/7, what is its volume?
Correct answer B. 12,320 cu m
The curved surface area of a cone is 550 sq cm and its base radius is 7 cm. Taking π = 22/7, what is its volume?
Correct answer B. 1,232 cu cm
The total surface area of a cube is 864 sq cm. What is its volume?
Correct answer D. 1,728 cu cm
A metal cuboid measuring 44 cm by 21 cm by 10 cm is melted and recast into a cylinder of base radius 7 cm. Taking π = 22/7, what is the height of the cylinder?
Correct answer A. 60 cm
Three solid metal cubes of edges 1 cm, 6 cm and 8 cm are melted together to form a single cube. What is the edge of the new cube?
Correct answer C. 9 cm
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A copper sphere of radius 3 cm is melted and drawn into a wire of uniform radius 0.1 cm. What is the length of the wire?
Correct answer A. 36 m
A solid metal cylinder of radius 4.5 cm and height 10 cm is melted to make coins of radius 0.75 cm and thickness 0.2 cm. How many coins are obtained?
Correct answer B. 1,800
How many lead balls of radius 1 cm can be made by melting a solid lead sphere of radius 5 cm?
Correct answer A. 125
A solid metal sphere of radius 6 cm is melted and recast into a cone whose base radius is also 6 cm. What is the height of the cone?
Correct answer B. 24 cm
A hemispherical bowl has an inner radius of 10.5 cm. Taking π = 22/7, how much soup can it hold?
Correct answer D. 2,425.5 cu cm
WTaking π = 22/7, hat is the total surface area of a solid hemisphere of radius 14 cm?
Correct answer A. 1,848 sq cm
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WTaking π = 22/7, hat is the surface area of a ball of radius 3.5 cm?
Correct answer D. 154 sq cm
WTaking π = 22/7, hat is the volume of a solid sphere of radius 21 cm?
Correct answer B. 38,808 cu cm
A conical heap of grain has a base radius of 6 m and a height of 14 m. Taking π = 22/7, what is its volume?
Correct answer D. 528 cu m
A right circular cone has a base radius of 21 cm and a vertical height of 20 cm. Taking π = 22/7, what is its curved surface area?
Correct answer B. 1,914 sq cm
A closed cylindrical tank has a base radius of 14 cm and a height of 15 cm. Taking π = 22/7, what is its total surface area?
Correct answer A. 2,552 sq cm