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

. 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.​

2 thoughts on “.The height of a cylinder is 15cm and the curved surface area is 660 cm2<br /><br />. Find its radius, total <br /><br />surface a”

  1. Given :

    • Height of a cylinder = 15 cm
    • Curved surface area = 660 cm²

    To find :

    • Radius
    • Total surface area of cylinder
    • Volume of the cylinder

    Concept Used :

    → 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 = πr²h

    where,

    • Take π = 22/7
    • r = radius of the cylinder
    • h = height of the cylinder

    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 cm

    TSA 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 cm²

    Volume 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 cm³

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