Question

the circumference of a base of a cylinder is 30.8 its curved surface area is 289.52 cm².find the height of a cylinder.​

Answer 1

Answer:

9.4 cm

Step-by-step explanation:

Given :

Circumference of the base of a cylinder = 30.8 cm

Curved Surface Area (CSA

of the cylinder = 289.52 cm²

Formulae :

Assuming that the cylinder mentioned in the question is a Right Circular Cylinder,

Circumference of a circle = 2πr units

Curved Surface Area (CSA) of a cylinder = (2πr × h) units²

Procedure :

Again assuming that the cylinder mentioned in the question is a Right Circular Cylinder,

2πr × h = 2πrh

Circumference of the base × h = CSA of the cylinder

⇒ 30.8 cm × h = 289.52 cm²

⇒ h = $\frac{289.52}{30.8} \times \frac{cm^{2}}{cm}$

∴ h = 9.4 cm.

Thanks !