Question

The radius and height of a cylinder are in ratio 1:4 find the radius if the radius if it's volum is 4312 cm

Answer 1

hope it helps to u buddy......

Answer 2

Answer :

Radius = 7 cm

Height = 28 cm

Step-by-step explanation :

Let the radius and height of a cylinder be x and 4x respectively.

According to the question ;

Volume of Cylinder = 4312 cm³

⇒ π r² h = 4312

⇒ $\frac{22}{7}$ * x² * 4x = 4312

⇒ 22 ( 4x³ ) = 4312 * 7

⇒ 4x³ = 30184 / 22

⇒ 4x³ = 1372

⇒ x³ = 1372 / 4

⇒ x³ = 343

⇒ x = ∛343

⇒ x = 7 cm

Hence,

Radius of cylinder = x = 7 cm.

Height of cylinder = 4x = 4*7 = 28 cm.