Question

if the diameter of a cylinder is 9cm height is 95.5cm. what is the surface area of the cylinder?​

Answer 1

Answer:

12,728.571

Explanation:

2pi r (r+h)

Answer 2

Given ,

Diameter = 9 cm

So , Radius = 9/2 = 4.5 cm

Height = 95.5 cm

We know that ,

$\large \sf \red{ \fbox{ \fbox{TSA \: of \: cylinder = 2\pi {r}^{2} + 2\pi rh }}}$

$= \sf 2 \times \frac{22}{7} \times {(4.5)}^{2} + 2 \times \frac{22}{7} \times 4.5 \times 95.5 \\ \\ = \sf \frac{44 \times 20.25}{7} + \frac{44 \times 429.75}{7} \\ \\ = \sf \frac{891 + 18909}{7} \\ \\ = \sf \frac{19800}{7} \\ \\ = \sf 2828.5 \: \: {cm}^{2}$

Hence , the TSA of a given cylinder is 2828.5 cm²