Question

the total surface area of a right circular is 880 sq cm and radius is 10cm then find its curved surface area​

Answer 1

Answer:

Let r and h be the radius and height of the solid right circular cylinder respectively.

Let S be the total surface area of the solid right circular cylinder.

Given that r=10cm and S=880cm  

2

 

Now, S=880 ⇒2πr[h+r]

2×  

7

22

​  

×7×10(h+10)=880

⇒h+10=  

2×22×10

880×7

​  

 

⇒ h+10=14

Thus, the height of the cylinder, h=4cm

Now, the curved surface area, CSA is

2πrh=2×  

7

22

​  

×10×4=  

7

1760

​  

 

Thus, the curved surface area of the cylinder =251  

7

3

​  

sq.cm