1.
The radius of a sphere is r units. Each of the radius of the base and the height of a right circular cylinder is also r units. What is the ratio of the volume of the sphere to that of the cylinder?
 A.2 : 3 ^{}
 C.3 : 2 ^{}
 B.3 : 4 ^{}
 D.4 : 3 ^{}
 Answer & Explanation
 Report
Answer : [D]
Explanation :
Explanation :




2.
The total surface area of a sphere is S_{1} and the curved surface area of a cylinder enclosing it is S_{2}. Then S_{1} : S_{2} will be equal to
 A.1 : 3
 C.2 : 1
 B.1 : 2
 D.1 : 1
 Answer & Explanation
 Report
Answer : [D]
Explanation :
Explanation :
Let r be the radius of the sphere  


Since the cylinder encloses the sphere, height of cylinder = 2r and radius = r  
Let S_{2} be the surface area of the cylinder  




3.
A rectangular room of size 5m (length) x 4m (width) x 3m (height) is to be painted. If the unit cost of painting is Rs. 10 per sq.m., what is the total cost of painting?
 A.Rs. 640 ^{}
 C.Rs. 740 ^{}
 B.Rs. 800 ^{}
 D.Rs. 940 ^{}
 Answer & Explanation
 Report
Answer : [C]
Explanation :
Explanation :
Area of 4 walls = 2h (l + b)  
The area to be painted includes the 4 walls and the top ceiling.  
Total area to be painted = 2h (l + b) + lb = 2 x 3 (5 + 4) + 5 x 4  


Total cost of painting = 74 x 10 = Rs. 740  
4.
A rectangular sheet of size 88cm x 35 cm is bent to form a cylindrical shape with height 35 cm. What is the area of the base of the cylindrical shape?
 A.600 sq.cm
 C.88 sq.cm
 B.676 sq.cm
 D.616 sq.cm
 Answer & Explanation
 Report
Answer : [D]
Explanation :
Explanation :
The circumference of the circular region = 88 cm  




5.
Volume of a right circular cylinder and that of a sphere are equal. If the radius of the base of the cylinder is the same as that of the sphere, which of the following is true as regards the height of the cylinder?
 A.It is 4/3 rd of its radius
 C.It is equal to its diameter
 B.It is equal to its radius
 D.It is 2/3 rd of its radius
 Answer & Explanation
 Report
Answer : [A]
Explanation :
Explanation :
Volume of cylinder = Volume of sphere  
Both the radius are also equal  



