Mechanical - UNIT - 6 - Mensuration - Area of Cut-Out Regular - MCQ

176)   

The TSA of a cube is equal to that of a sphere. What is the ratio of volume of the cube to volume of the sphere? 

A.
B.
C.
D.
Answer: C
177)   

 Find the height of a cone whose volume is 1386 cm³ and base radius is 7 cm.

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B.
C.
D.
Answer: D
178)   

 The surface area of a sphere is 616 cm². What is its radius?

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B.
C.
D.
Answer: C
179)   

 A cone and a cylinder have the same base and height. What is the ratio of their total surface areas (approximately)?

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B.
C.
D.
Answer: B
180)   

A circular field is surrounded by a path 3 m wide. If the radius of the field is 10 m, what is the area of the path? 

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B.
C.
D.
Answer: A
181)   

A sector of a circle with radius 7 cm has area 77 cm². What is the angle of the sector?

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B.
C.
D.
Answer: B
182)   

A square plate of area 400 cm² has four identical quarter circles cut at each corner. What is the remaining area if the radius of each quarter circle is 5 cm?

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B.
C.
D.
Answer: B
183)   

A trapezium has parallel sides 10 cm and 20 cm, height 5 cm. A semicircle of radius 2 cm is cut from it. Find the remaining area. 

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B.
C.
D.
Answer: C
184)   

 Find the area of a circular ring with outer diameter 20 cm and inner diameter 16 cm. 

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B.
C.
D.
Answer: A
185)   

A garden is in the shape of a semicircle of radius 14 m. What is the fencing length required (boundary length)? 

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B.
C.
D.
Answer: C
186)   

A circular plate is cut into 8 equal sectors. What is the angle of each sector and arc length if radius is 7 cm?

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B.
C.
D.
Answer: B
187)   

An L-shaped floor is formed by removing a rectangle 3 m × 2 m from a larger 8 m × 6 m rectangle. What is the area of the floor?

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B.
C.
D.
Answer: A
188)   

A metal plate is a combination of a square (10 cm side) and a semicircle (radius 5 cm) on one side. Find its area.

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B.
C.
D.
Answer: C
189)   

A workshop sheet is shaped like a trapezium with bases 18 cm and 12cm, height 8 cm. A hole of radius 3 cm is cut. Find the remaining area.

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B.
C.
D.
Answer: A
190)   

From a square of side 14 cm, four semicircles of radius 3.5 cm are cut from each corner. What is the area of the remaining shape?

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B.
C.
D.
Answer: C
191)   

 A metal cone has a base diameter 12 cm and slant height 13 cm. What is its total surface area? 

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B.
C.
D.
Answer: A
192)   

 A sector of angle 120° is cut from a circular sheet of radius 6 cm. What is the perimeter of the sector? 

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B.
C.
D.
Answer: B
193)   

 The area of a segment of a circle with radius 10 cm and angle 60° is approximately: 

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B.
C.
D.
Answer: C
194)   

 A conical vessel of radius 4.2 cm and height 8.4 cm is completely filled with water. This water is poured into a cylindrical vessel of radius 3.5 cm. What is the height of water in the cylinder?

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B.
C.
D.
Answer: A
195)   

 A cube has the same volume as a cylinder of radius 3 cm and height 28 cm. What is the edge of the cube?

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B.
C.
D.
Answer: C
196)   

A circular wire of radius 10 cm is bent into the shape of a square. What is the area of the square?

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B.
C.
D.
Answer: B
197)   

The radius of a cone is doubled and the height is halved. What is the ratio of the new volume to the original? 

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B.
C.
D.
Answer: B
198)   

A hollow cylindrical pipe has outer radius 6 cm, inner radius 4 cm, and height 10 cm. What is the total surface area (TSA)?

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B.
C.
D.
Answer: A
199)   

A large cylindrical water tank is 3 m in diameter and 5 m high. How many litres can it hold (approximately)? 

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B.
C.
D.
Answer: B
200)   

The volume of a hollow cylinder is 4400 cm³. Outer radius is 10 cm, height is 14 cm. Find inner radius.

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B.
C.
D.
Answer: C