Question

The volume of a cylinder is 72π cm³ if its hieght is 8 cm find the total surface area of the cylinder

Answer 1

Answer:

We know

Volume of cylinder = pi r²h

72 pi = pi r² × 8

72/ 8 = r²

r² = 9

r = 3cm

Total surface area of a cylinder

= 2pi r (r +h)

= 2×22/7 ×3 ( 3+8)

= 2× 22/7 × 3 × 11

= 2× 22/7 ×33

= 207.42 cm²

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Answer 2

Answer:

207.42cm²

Step-by-step explanation:

Vol. of Cylinder= πr²h= 72π cm³

h= 8cm

πr²h= 72π cm³

r²h=72 cm³

r²= 72/8

r²=9

r=3cm.

Now,

        Total Surface Area = 2πrh+2πr² = 2πr(h+r)

         2π(3){8+3}

         2π(3)(11)

         2×22/7×3×11

         1452/7 = 207.42cm²