Question

In the given figure find the total surface area?

Answer 1

The given figure is a cylinder of height $7$ cm and the diameter of the base is $7$ cm also.

Then the radius of the base is $\frac{7}{2}$ cm.

We let this cylinder to be solid.

Then the total surface area will be

$=2\pi r(r+h)$

$=2\pi \times \frac{7}{2}(\frac{7}{2}+7)$

$=2\times \frac{22}{7}\times \frac{7}{2}(\frac{7}{2}+7)$

$=22\times \left(\frac{21}{2}\right)$

$=11\times 21$

$=232$.

So the total surface area is $232$ cm${}^2$.