Find the volume, curved surface area and total surface area of each of the cylinders whose dimensions are:
(i) radius of the base = 7 cm and height = 50 cm
(ii) radius of the base = 5.6 m and height = 1.25 m
(iii) radius of the base = 14 dm and height = 15 m
(i) At first,
In order to find volume, we will use the following formula:
Volume of a cylinder = 
Where,
‘r’ = radius of the base
‘h’ = height of the cylinder
Hence,
Volume of the cylinder = 
= 
= 22 × 7 × 50
= 7700 cm3
Now,
In order to find curved surface area, we will use the following formula:
Curved surface area of cylinder = 
Where,
‘r’ = radius of the base
‘h’ = height of the cylinder
Hence,
Curved surface area of cylinde
r = 
= 
= 22× 2× 50
= 2200 cm2
Now,
In order to find the total surface area we will use the following formula:
Total surface area of cylinder = 
Where,
‘r’ = radius of the base
‘h’ = height of the cylinder
Hence,
Total surface area of cylinder = 
= 
= 22× 2× 57
= 2508cm2
(ii) At first,
In order to find volume we will use the following formula:
Volume of a cylinder = 
Where,
‘r’ = radius of the base
‘h’ = height of the cylinder
Hence,
Volume of the cylinder = 
= 
= 22× 0.8× 7× 50
= 123.2 cm3
Now,
In order to find curved surface area we will use the following formula:
Curved surface area of cylinder = 
Where,
‘r’ = radius of the base
‘h’ = height of the cylinder
Hence,
Curved surface area of cylinder = 
= 
= 22× 2× 0.8× 1.25
= 44 cm2
Now,
In order to find the total surface area we will use the following formula:
Total surface area of cylinder = 
Where,
‘r’ = radius of the base
‘h’ = height of the cylinder
Hence,
Total surface area of cylinder = 
= 
= 22× 2× 0.8× 6.85
= 241.12 cm2
(iii) At first,
We will convert the radius into metre
Radius = 14dm = 1.4m
Now,
In order to find volume we will use the following formula:
Volume of a cylinder = 
Where,
‘r’ = radius of the base
‘h’ = height of the cylinder
Hence,
Volume of the cylinder = 
= 
= 22× 0.2× 1.4× 1.5
= 92.4cm3
Now,
In order to find curved surface area we will use the following formula:
Curved surface area of cylinder = 
Where,
‘r’ = radius of the base
‘h’ = height of the cylinder
Hence,
Curved surface area of cylinder = 
= 
= 22× 2× 0.2× 1.5
= 132cm2
Now,
In order to find the total surface area we will use the following formula:
Total surface area of cylinder = 
Where,
‘r’ = radius of the base
‘h’ = height of the cylinder
Hence,
Total surface area of cylinder = 
= 
= 22× 2× 0.2× 2.9
= 144.32cm2