Question

) The TSA of a cylinder is 2728 sq cm.Find its volume if the radius of its base is 7cm.

Answer 1

Answer:

8470 cm³

Step-by-step explanation:

Total surface area of the solid cylinder =(2πr²+2πrh)

=2πr(r+h)=2 x22/7 x7(7+h) =2728

So(7+h)= 2728÷{2x22}

(7+h) =62

So h= (62–7)= 55 cm

So volume of the cylinder = πr²h =22/7 x 7²x 55

= 8470 cm³

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Answer 2

Answer:

Step-by-step explanation:

Answer:

8470 cm³

Step-by-step explanation:

Total surface area of the solid cylinder =(2πr²+2πrh)

=2πr(r+h)=2 x22/7 x7(7+h) =2728

So(7+h)= 2728÷{2x22}

(7+h) =62

So h= (62–7)= 55 cm

So volume of the cylinder = πr²h =22/7 x 7²x 55

= 8470 cm³