Firstly to find out the curved surface area of cylinder, we need to find the radius of cylinder, So let's use Volume of cylinderformula to find the radius of cylinder.
Volume of cylinder = πr²h
1232 = 22/7 × r² × 8
1232 = 25.14r²
r² = 1232/25.14
r² = 49
r = √49
r = 7 cm
We have got to know the value of radius, so next let's find out the Curved surface area of cylinder.
Curved surface area of cylinder = 2πrh
= 2 × 22/7 × 7 × 8
= 352cm²
Lastly, let's find out the Total surface area of cylinder.
Answers & Comments
Verified answer
Answer:
The Total surface area is 660 cm² and Curved surface area is 352 cm².
Step-by-step explanation:
Given :
Volume = 1232 cm³
Height = 8 cm
To find :
Curved Surface Area and Total Surface area of the cylinder
Solution :
Let the radius be r
Radius = 7 cm
As we got the value of the cylinder's radius, we can now find the CSA and TSA.
★![\textsf{\underline{\underline{Curved Surface Area -}}} \textsf{\underline{\underline{Curved Surface Area -}}}](https://tex.z-dn.net/?f=%5Ctextsf%7B%5Cunderline%7B%5Cunderline%7BCurved%20Surface%20Area%20-%7D%7D%7D)
Curved Surface Area = 352 cm²
★![\textsf{\underline{\underline{Total surface area -}}} \textsf{\underline{\underline{Total surface area -}}}](https://tex.z-dn.net/?f=%5Ctextsf%7B%5Cunderline%7B%5Cunderline%7BTotal%20surface%20area%20-%7D%7D%7D)
Total Surface Area = 660 cm²
Given,
To find,
Formulae used,
Solution,
Firstly to find out the curved surface area of cylinder, we need to find the radius of cylinder, So let's use Volume of cylinder formula to find the radius of cylinder.
Volume of cylinder = πr²h
1232 = 22/7 × r² × 8
1232 = 25.14r²
r² = 1232/25.14
r² = 49
r = √49
r = 7 cm
We have got to know the value of radius, so next let's find out the Curved surface area of cylinder.
Curved surface area of cylinder = 2πrh
= 2 × 22/7 × 7 × 8
= 352cm²
Lastly, let's find out the Total surface area of cylinder.
Total surface area of cylinder = 2πr(r + h)
= 2 × 22/7 × 7 (7+8)
= 660cm²
____________________________
• Curved surface area = 352cm²
• Total surface area = 660cm²