Question

The total surface area of cylinder of diameter 21 cm is 1683 e Square find the height and volume of the cylinder

Answer 1

Answer:

Here is your answer

Hope it will help you..........

Answer 2

Therefore, the volume of the cylinder is = 10,395 cm³.

Step-by-step explanation:

Given, the total surface area of cylinder of diameter 21 cm is 1683 cm²

The total surface area of the cylinder =$2\pi r(r+h)$

Here r = radius of the cylinder = $\frac{21}{2}$ cm.

According to problem,

$2\pi \frac{21}{2} (\frac{21}{2} +h) = 1683.$

$\Rightarrow (\frac{21}{2} +h) =\frac{ 1683}{2\pi \frac{21}{2} }$

$\Rightarrow (\frac{21}{2} +h) =\frac{51}{2}$

h = 30 cm.

Therefore, the volume of the cylinder is $\pi r^2 h$.

                                                                    $=\pi (\frac{21}{2} )^2 \times 30$ cm³

                                                                     =10395 cm³