Question

A solid circular cylinder has a base radius 5 cm and a height 12.5 cm. Find the approximate increase in the surface area of the cylinder when the radius of the base increases to 5.05

Answer 1

19.72 cm²

Explanation:

A solid circular cylinder has a base radius 5 cm and a height 12.5 cm.

The volume of cylinder is given by :

`V=\pi r^2 h\\\\=3.14* (5)^2* 12.5\\\\=981.25\ cm^2`

When r = 5.05, new volum becomes,

`V=\pi r^2 h\\\\=3.14* (5.05)^2* 12.5\\\\=1000.97\ cm^2`

Increase in area = 1000.97 - 981.25 = 19.72 cm²

So, the increase in surface area of the cylinder is equal to 19.72 cm².