Question

The volume of a cylinder is
72 pie cm. If its
height is 8 cm, find the total surface area of
the cylinder.​

Answer 1

Volume of the cylinder = 72π cm³

h = 8 cm

We know, V (right circular cylinder) = πr²h

If it's radius of base is (r),

∴ πr²h = 72π

⇒ 8r² = 72

⇒ r² = 9

⇒ r = 3 cm

Now we know, TSA (right circular cylinder) = 2πr(r + h)

∴ TSA = 2π(3)(3 + 8) cm²

⇒ TSA = 6π(11) cm²

⇒ TSA = 66π cm². (Answer.)