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

Answer:

100.6cm2

Step-by-step 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 .

$2 \times \frac{22}{7} ( (2 \times 6) + {2}^{2} )$

$2 \times \frac{22}{7} (12 + 4) \\ 2 \times \frac{22}{7} \times 16 \\ \frac{22 \times 2 \times 16}{7} \\ \frac{22 \times 32}{7} \\ \frac{704}{7} = 100.57 {cm}^{2} \\ = 100.6 {cm}^{2}$