Answer:

Height = 15 cm.

CSA = 660cm^2.

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Step-by-step explanation:

Given the radius of cylinder is 7 cm and the TSA of the cylinder is 968 cm^2.

Let height of the cylinder be h cm

So,

2πrh+2πr*r = 968;

2πr(r+h) = 968;

7+h = 968/2πr;

7+h = 968*7/2*22*7 = 968/44 = 22;

7+h = 22;

h = 22-7 = 15 cm.

Height = 15 cm.

CSA = 2πrh = 2*22/7*7*15 = 30*22 = 660 cm^2.

So, CSA is 660cm^2.

Verified answer

Answer:

Step-by-step explanation:

Given,

Radius of Cylinder = 7 cm

Total surface area = 968 cm

Let Height of Cylinder = h

Total Surface Area = 968 m

21r(r + h) = 968

2x_

= × 7 × (7 + h) = 968

2 × 22(7 + h) = 968

44(7+h)=968

7+h=968/44

7+h=22

h=22-7

h=15cm

CSA= 2 pi r h

= 2x22/7x7x15

=44x15

=660cm