Question

The height of a cylinder is twice its radius. Find the volume of the cylinder, if its curved surface area is 616 cm².​

Answer 1

Answer:

Step-by-step explanation:

Given that:Curved surface area : Total surface area =1:2

Curved surface area :616=1:2

Curved surface area=  

2

616

​  

=308

⇒  

2πr(h+r)

2πrh

​  

=  

2

1

​  

 

⇒  

h+r

h

​  

=  

2

1

​  

 

⇒2h=h+r

⇒h=r

Curved Surface area=2πrh=2πr  

2

=308 since h=r

⇒2×  

7

22

​  

r  

2

=308

⇒r  

2

=  

44

308×7

​  

=49

⇒r=7cm

Since r=h

h=7cm

Volume of the cylinder=πr  

2

h=  

7

22

​  

×7×7×7=1078cm  

3

 

∴ Volume of the cylinder is 1078 cu cm.