Question

The expression two pi parentheses RH plus R to the power of two parentheses represents the total surface area of a cylinder with height H in radius R what is the surface area of the cylinder with a height of 6 cm and a radius 2 cm

Answer 1

100.6cm2

Explanation:

The mathematical expression wil become

`2\pi(rh + {r}^(2) )`

The TSA of a cylinder is

`2\pi \: rh + \pi {r}^(2) + \pi {r}^(2)`

When simplified, we have

`2\pi \: rh + 2\pi {r}^(2) = 2\pi(rh + {r}^(2) )`

So indirectly, the expression is the same as total surface area of a cylinder.

So all you have to do is substitute the height and radius into any of the formulas .

`2 * (22)/(7) ( (2 * 6) + {2}^(2) )`

`2 * (22)/(7) (12 + 4) \\ 2 * (22)/(7) * 16 \\ (22 * 2 * 16)/(7) \\ (22 * 32)/(7) \\ (704)/(7) = 100.57 {cm}^(2) \\ = 100.6 {cm}^(2)`