Question

If the radius and CSA of cylinder are 14 cm and 792 cm^2 respectively.
Find the height of the cylinder.​

Answer 1

Given :

• Radius of a cylinder = 14 cm
• CSA of cylinder = 792 cm²

To Find :

• Height of the cylinder

Solution :

Let the hight of the cylinder be " h " and radius of the cylinder be " r ".

Radius of cylinder (r) = 14 cm

CSA of cylinder = 792 cm²

Formulae for CSA of cylinder is given by ,

$\\ :\implies\sf CSA = 2\pi rh$

By substituting the values we have ,

$\\ : \implies \sf \: 792 = 2 \times \frac{22}{7} \times 14 \times h$

$\\ : \implies \sf \: 792 = 2 \times 22 \times 2 \times h$

$\\ : \implies \sf \: 792 = 88 \times h$

$\\ : \implies \sf \: h= \frac{792}{88}$

$\\ : \implies \underline{\boxed{\sf{ \: h = 9 \: cm}}}$

Hence , The height of the cylinder is 9 cm.

Answer 2

Answer:

Radius of a cylinder = 14cm

Curve surface area = 792cm²

area of CSA =

2πr x h

792 = 2 * 22/7 * 14 * h

792 = 2*22*2*h

792 = 88 h

h = 792/88

h = 9

Therefore height of the cylinder is 9 cm