Sawaal
0
Q:

A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.

What is the ratio of the volume of the sphere to that of cone?

A) 6√3:1 B) 7 : 2
C) 3√3:1   D) 5√3:1

Answer:   A) 6√3:1



Explanation:
The top view of the given assembly will look like the figure above
Outermost is the sphere. Inside that there is a cube and within that there is a cone and cylinder with same radius.
Here side of cube = a
Diameter of Sphere = body diagnol = √3 a
Radius of sphere = √3 a/2 =r1
Height of Cylinder = Height of cone = side of cube = a =h
Radius of cylinder = Radius of cone = side of cube/2 = a/2 =r2(as shown in the figure)
Volume of sphere/volume of cone = 43πr1313πr22h = 6√3:1
Subject: Volume and Surface Area
Exam Prep: Bank Exams
Related Questions
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  

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

3 10493
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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 4300
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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 6786
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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 3280
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  

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 3190
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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

1 303
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  

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

3 6611
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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

3 669