.The height of a cylinder is 15cm and the curved surface area is 660 cm2

. Find its radius, total

surface area and volume.

. Find its radius, total

surface a

.The height of a cylinder is 15cm and the curved surface area is 660 cm2

. Find its radius, total

surface area and volume.

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Given:Tofind:ConceptUsed:→ Formula of Curved surface of cylinder :-

CSA of cylinder = 2πrh→ Formula of Total surface area of cylinder :-

TSA of cylinder = 2πr(h + r)→ Formula of volume of cylinder :-

Volume = πr²hwhere,

Solution:Radius →⠀⠀⠀⇒ CSA of cylinder = 2πrh

⠀⠀⠀⇒ 660 = 2 × 22/7 × r × 15

⠀⠀⠀⇒ 660 = 660/7 × r

⠀⠀⠀⇒ 660 × 7/660 = r

⠀⠀⠀⇒ 7 = r

★

Radius of the cylinder = 7 cmTSA of cylinder →⠀⠀⠀⇒ TSA of cylinder = 2πr(h + r)

⠀⠀⠀⇒ TSA = 2 × 22/7 × 7(15 + 7)

⠀⠀⠀⇒ TSA = 2 × 22(22)

⠀⠀⠀⇒ TSA = 968

★

Total surface area of cylinder = 968 cm²Volume of cylinder →⠀⠀⠀⇒ Volume = πr²h

⠀⠀⠀⇒ Volume = 22/7 × (7)² × 15

⠀⠀⠀⇒ Volume = 22/7 × 7 × 7 × 15

⠀⠀⠀⇒ Volume = 22 × 7 × 15

⠀⠀⠀⇒ Volume = 2310

★

Volume of cylinder = 2310 cm³Answer:Using the formula

A=2πrh+2πr2

Solving forr

r=1

2h2+2A

π﹣h

2=1

2·152+2·660

π﹣15

## 2≈5.20009cm