Question

The volume ofa cylinder is 308 cm.. Its height is 8 cm. Find its lateral surface area and
total surface area.​

Answer 1

Answer:

Step-by-step explanation:

The volume of the cylinder is given as πr  

2

h where r= radius of the base of the cylinder and h is

the height of the cylinder.

The volume of the cylinder is given to us as 308 sq meter

∴  

7

22

​  

×r  

2

×8=308

⇒r  

2

=  

22×8

308×7

​  

=12.25

∴r=3.50 m  

The lateral surface area of a cylinder is given by the formula =2πrh

=2×  

7

22

​  

×3.5×8

=176m  

2

 

The total surface area of the cylinder = Lateral Surface Area + 2πr  

2

 

=176+2  

7

22

​  

×(3.5)  

2

 

=176+77

=253m  

2

Answer 2

Volume of cylinder=308cm^2

Height of cylinder (h) -8cm

Now finding radius......

Vol. Of cylinder-πr^2h

22/7×r^2"8 =308 cm

R^2=308×7/22

R^2=14×7

R=√98