P and Q are two cylinders having equal total surface areas.__ __The radius of each cylinder is equal to the hieght of the other. The sum of the volumes of both the cylinders is** 250π cm ^{3} ** . Find the sum of their curved surface areas.

**(in cm**.

^{2})**For cylinder P:**

Let its height be *h*, cm

and radius be *r*, cm

**For cylinder Q:**

Let the height be *h*_{2} cm and radius be *r*_{2} cm.

Given,Total surface area of cylinder P = Total surface area of cylinder Q

Again,

volume of P + volume of Q = 250π

Now, *h*_{1} = *h*_{2} = 5 cm

and *r*_{1} = *r*_{2} = 5 cm [∵ *r*_{1} = *h*_{2} and *r*_{2} = *h*_{1}]

Now, curved surface area of P + curved surface area of Q

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