Question

The TSA of a cylinder whose radius is 7cm is 660cm/s find height of cylinder ​

Answer 1

Height = 6.63 cm

Step-by-step explanation:

GIVEN

Radius = 7 cm

Total Surface Area = 600 cm

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TO FIND

Height

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FORMULAS OF CYLINDER

Radius = 2 × Diameter

Diameter = 2 × Radius

Total Surface Area Of Cylinder = ( 2 × π × r × h ) + 2 × π × r² )

Curved Surface Area Of Cylinder = 2 × π × r × h

Volume Of Cylinder = π × r² × h

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Let's find the height of cylinder

We know that,

Total Surface Area Of Cylinder = ( 2 × π × r × h ) + 2 × π × r² )

Height = ( Total Surface Area Of Cylinder / ( 2 × π × r ) ) - r

Height = ( 600 / ( 2 × ( 22 / 7 ) × 7 ) ) - 7

Height = ( 600 / ( 2 × ( 22 / 7 ) × 7 ) ) - 7

Height = ( 600 / 44 ) - 7

Height = 13.6363636 - 7

Height = 6.6363636

Height = 6.63 cm