Problems on Volumes

1.

The radius of a cylinder is 12 m, height 21 m. the lateral surface area of the cylinder is: 

   A.) 1584 m3
   B.) 1582 m2
   C.) 1584 m2
   D.) None of these

Answer: Option 'C'

Lateral surface area = 2πrh 
= 2 × 22/7 × 12 × 21 
= 44 × 36 
= 1584 m2

2.

The radius of a cone is 4 m, height 5 m. Find the curved surface area?

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

Answer: Option 'B'

Cone curved surface area = πrl = 22/7 × 4 × 5 = 440/7 = 62 6/7 
Slant height (l) = √r2+h2 = √16+9 = √25 = 5

3.

The radius of hemi-sphere is 14 m. find its cutved surface area?

   A.) 1332 sq.units
   B.) 1213 sq.units
   C.) 1233 sq.units
   D.) 1232 sq.units

Answer: Option 'D'

Curved surface area = 2πr2 
2 (22/7) × 14 × 14 
44 × 28 
1238 sq.units

4.

A cylinder and a cone have the same height and same radius of base. The ratio between the volumes of the cylinder and the cone is:

   A.) 3 : 1
   B.) 3 : 2
   C.) 2 : 1
   D.) None of these

Answer: Option 'A'

Volume of the cylinder = πr2
Volume of the cone = 1/3 πr2
(πr2h)/(1/3 πr2h) = 3/1 = 3 : 1

5.

Two cubes of thire sides ratio 2 : 3. Find its cube volumes ratio?

   A.) 27 : 7
   B.) 27 : 8
   C.) 8 : 27
   D.) 8 : 25

Answer: Option 'C'

a3 : b3 = 23 : 33
= 8 : 27

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