Question

The circumference of the base of a cylinder is 88 cm and its height is 60 cm. Find the volume of the cylinder and its curved surface area.

Answer 1

It is given in the question that, 

Circumference of the base of the cylinder = 88cm 

Height of the cylinder = 60cm 

Hence, 

Curved surface area = Circumference× height 

= 88 × 60 

= 5280 cm² 

Now, 

The circumference of the base = \(2\pi r=88\) cm

Hence,

The radius of the base(r) = \(\frac{88}{2\pi}\)

= \(\frac{88\times7}{2\times22}\)

= 14cm 

Hence, 

We can find the volume as follows: 

Volume of the cylinder = \(\pi r^2h\)

= \(\frac{22}{7}\times(14)^2\times60\)

= 22 × 2 × 14 × 60 

= 36960cm³