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Q:

Three toys are in a shape of cylinder, hemisphere and cone. The three toys have same base. Height of each toy is 2√2 cm. What is the ratio of the total surface areas of cylinder, hemisphere and cone respectively?

A) 4 : 3 : [(√2) + 1] B) 4 : 3 : [2 + (√2)]
C) 4 : 3 : 2√2 D) 2 : 1 : (1 + √2)
 
Answer & Explanation Answer: A) 4 : 3 : [(√2) + 1]

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Filed Under: Volume and Surface Area
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Q:

A right circular cylinder has height 28 cm and radius of base 14 cm. Two hemispheres of radius 7 cm each are cut from each of the two bases of the cylinder. What is the total surface area (in cm2) of the remaining part?

A) 3842 B) 4312
C) 3296 D) 4436
 
Answer & Explanation Answer: B) 4312

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Q:

A cylinder of radius 4.5 cm and height 12 cm just fits in another cylinder completely with their axis perpendicular. What is the radius (in cm) of second cylinder?

A) 5 B) 6
C) 15 D) 7.5
 
Answer & Explanation Answer: D) 7.5

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Q:

A cube is placed inside a cone of radius 20 cm and height 10 cm, one of its face being on the base of the cone and vertices of opposite face touching the cone. What is the length (in cm) of side of the cube?

A) 5 B) 6
C) 8 D) 9
 
Answer & Explanation Answer: C) 8

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Q:

A regular hexagonal base prism has height 8 cm and side of base is 4 cm. What is the total surface area (in cm2) of the prism?

A) 54(3 + √3) B) 36(3 + √3)
C) 48(4 + √3) D) 24(4 + √3)
 
Answer & Explanation Answer: C) 48(4 + √3)

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Q:

In the given figure, four identical semicircles are drawn in a quadrant. XA = 7 cm. What is the area (in sq.cm) of shaded region ?

 

A) 70 B) 140
C) 77 D) 84
 
Answer & Explanation Answer: D) 84

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Q:

In the given figure, ABCDEF is a regular hexagon of side 12 cm. P, Q and R are the mid points of the sides AB, CD and EF respectively. What is the area (in sq.cm) of triangle PQR?

A) 27√6 B) 81√3
C) 54√3 D) 54√6
 
Answer & Explanation Answer: B) 81√3

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Q:

In the given figure, two squares of sides 8 cm and 20 cm are given. What is the area (in sq.cm) of the shaded part?

A) 120/7 B) 160/7
C) 180/7 D) 240/13
 
Answer & Explanation Answer: B) 160/7

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