15
Q:

A cylindrical rod of iron, whose height is equal to its radius, is melted and cast into spherical balls whose radius is half the radius of the rod. Find the number of balls.

A) 3 B) 4
C) 5 D) 6

Answer:   D) 6



Explanation:

Volume of rod = πr2h = πr2×r = πr3  

Volume of one spherical ball =r/2 

Volume of the spherical ball = 43πr38  

Number of balls=Volumeof rod/volumeof one ball

Subject: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO
Q:

Find the surface area (in cm2) of a sphere of diameter 28 cm.

 

A) 3422   B) 3852  
C) 2464   D) 3550
 
Answer & Explanation Answer: C) 2464  

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3 7036
Q:

What is the measure of an interior angle of a regular polygon of 8 sides?

 

A) 140 B) 144
C) 135 D) 150
 
Answer & Explanation Answer: C) 135

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0 2988
Q:

Find the volume (in cm3) of a right circular cone of diameter 7 cm and height 7 cm.

 

A) 69.06   B) 16.43  
C) 11.15   D) 89.83
 
Answer & Explanation Answer: D) 89.83

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0 4711
Q:

∆PQR is right angled at Q. If m∠P = 60 deg, then find the value of (secR + 1/2).

 

A) (2√2+√3)/2   B) (√3+4)/2√3
C) √3+2   D) 5/6
 
Answer & Explanation Answer: B) (√3+4)/2√3

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0 2606
Q:

Find the volume (in cm3) of a hemisphere of diameter 7 cm.

 

A) 77   B) 63  
C) 89.83   D) 54.13
 
Answer & Explanation Answer: C) 89.83  

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0 2697
Q:

In ΔPQR measure of angle Q is 90 deg. If tanP = 24/7, and PQ = 14cm, then what is the length (in cm) of side QR?

 

A) 50 B) 20
C) 26 D) 48
 
Answer & Explanation Answer: D) 48

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1 260
Q:

Find the surface area (in sq.cm) of a sphere of diameter 14 cm.

 

A) 616   B) 4699  
C) 8628   D) 6922
 
Answer & Explanation Answer: A) 616  

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2 4576
Q:

If the edge of a cube is increased by 3 cm, the volume will increase by 657 cub.cm. What then is the original length of each edge of the cube?

A) 9 cm B) 6 cm
C) 8 cm D) 7 cm
 
Answer & Explanation Answer: B) 6 cm

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3 436