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

51)   

A cone has a base radius of 7 cm and slant height of 25 cm. Find its curved surface area. 

A.
B.
C.
D.
Answer: C
52)   

A circle has a radius of 14 cm. Find the area of a minor segment if the central angle is 90°. 

A.
B.
C.
D.
Answer: D
53)   

A solid object consists of a cylinder with a radius of 3 cm and height of 6 cm, and a hemisphere attached on top. Find the total volume of the object. 

A.
B.
C.
D.
Answer: B
54)   

A square has a side length of 8 cm, and a quarter circle with a radius equal to the side of the square is added to one corner. Find the perimeter of the combined shape. 

A.
B.
C.
D.
Answer: D
55)   

A hexagonal tank has a base edge of 5 m and a height of 10 m. Find its capacity in liters. 

A.
B.
C.
D.
Answer: C
56)   

A cone with a radius of 7 cm and height of 24 cm is placed on top of a cylinder with the same radius and height of 20 cm. Find the total surface area of the combined shape. 

A.
B.
C.
D.
Answer: B
57)   

A circle with a radius of 10 cm has a rectangle of dimensions 12 cm × 8 cm cut out from its center. Find the remaining area of the circle. 

A.
B.
C.
D.
Answer: D
58)   

An ellipsoid has semi-axes of 7 cm, 5 cm, and 3 cm. Calculate its volume. 

A.
B.
C.
D.
Answer: A
59)   

A circular track has an inner radius of 30 m and a width of 5 m. Find the total perimeter of the track. 

A.
B.
C.
D.
Answer: D
60)   

A sphere has a radius of 21 cm. Find its total surface area.

A.
B.
C.
D.
Answer: A
61)   

A truncated square pyramid has a top edge of 4 cm, bottom edge of 10 cm, and height of 8cm. Find its volume. 

A.
B.
C.
D.
Answer: B
62)   

A hollow sphere has an outer radius of 10 cm and inner radius of 8 cm. Find its total surface area. 

A.
B.
C.
D.
Answer: A
63)   

A square with a side length of 12 cm has a semicircle attached to one side and an equilateral triangle attached to the adjacent side. Find the total perimeter.

A.
B.
C.
D.
Answer: C
64)   

A parallelogram has a base of 15 cm and height of 8 cm. Calculate its area. 

A.
B.
C.
D.
Answer: A
65)   

An ellipse has a semi-major axis of 10 cm and a semi-minor axis of 6 cm. A sector with a central angle of 90° is cut out. Find its area. 

A.
B.
C.
D.
Answer: B
66)   

A cylinder with a radius of 5 cm and height of 10 cm is placed on top of a cube with a side length of 10 cm. Find the total volume. 

A.
B.
C.
D.
Answer: B
67)   

A regular hexagon has a side length of 7 cm. Find its perimeter. 

A.
B.
C.
D.
Answer: B
68)   

A circle with a radius of 10 cm has another circle of radius 6 cm cut out from its center. Find the area of the remaining part. 

A.
B.
C.
D.
Answer: C
69)   

A hexagonal prism has a side length of 6 cm and a height of 15 cm. Find its total surface area. 

A.
B.
C.
D.
Answer: A
70)   

A cone with a base radius of 7 cm and height of 14 cm is topped with a hemisphere of the same radius. Find the total volume.

A.
B.
C.
D.
Answer: D
71)   

A rectangle has dimensions 12 cm × 8 cm, and a semicircle with a diameter equal to the shorter side is attached to one side. Find the total area. 

A.
B.
C.
D.
Answer: B
72)   

A sector of a circle has a radius of 7 cm and a central angle of 120°. Find its perimeter. 

A.
B.
C.
D.
Answer: C
73)   

Find the volume of a hemisphere with a radius of 6 cm. 

A.
B.
C.
D.
Answer: A
74)   

A cylinder has a radius of 10 cm and a height of 15 cm. Find its total surface area. 

A.
B.
C.
D.
Answer: C
75)   

A trapezium has parallel sides of lengths 10 cm and 20 cm, and the distance between them is 15 cm. Calculate its area.

A.
B.
C.
D.
Answer: C