A metal pipe is 21 cm long. Its external radius is 8 cm and its internal radius is 6 cm. Taking π = 22/7, what is the volume of metal in the pipe?
Correct answer B. 1,848 cu cm
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Maths MCQs & Aptitude MCQs
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A solid hemisphere of radius 9 cm is melted and recast into a cone with the same base radius. What is the height of the cone?
Correct answer A. 18 cm
A storeroom is 12 m long, 4 m wide and 3 m high. What is the length of the longest pole that can be placed in it?
Correct answer B. 13 m
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The total surface area of a cube is 864 sq cm. What is its volume?
Correct answer D. 1,728 cu cm
The areas of three adjacent faces of a cuboid are 24 sq cm, 32 sq cm and 48 sq cm. What is its volume?
Correct answer B. 192 cu cm
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
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
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 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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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
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
The base radii of two cones are in the ratio 3 : 4 and their heights are in the ratio 4 : 3. What is the ratio of their volumes?
Correct answer A. 3 : 4
The surface area of a sphere is 616 sq cm. Taking π = 22/7, what is its volume?
Correct answer A. 1,437 1/3 cu cm
A cylindrical container of radius 6 cm and height 15 cm is full of ice cream. It is filled into cones of radius 3 cm and height 12 cm, each topped with a hemisphere of the same radius. How many such cones can be filled?
Correct answer A. 10
A closed wooden box measures 2 m by 1.5 m by 1 m. What is the cost of painting its entire outer surface at Rs. 18 per square metre?
Correct answer A. Rs. 234
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Water flows at 70 cm per second through a pipe of internal radius 1 cm into an empty cylindrical tank of base radius 70 cm and height 60 cm. How long will it take to fill the tank?
Correct answer A. 1 hour 10 minutes
A solid cube of edge 12 cm is cut into small cubes of edge 3 cm. How many times the original total surface area is the combined surface area of the small cubes?
Correct answer A. 4 times
A wooden block in the shape of a cuboid measures 12 cm by 8 cm by 5 cm. What is its volume?
Correct answer C. 480 cu cm
What is the total surface area of a closed box 15 cm long, 10 cm wide and 6 cm high?
Correct answer D. 600 sq cm
The volume of a cube is 2197 cu cm. What is its total surface area?
Correct answer D. 1,014 sq cm