Question

The ratio between the radius and height of a circular cone of volume 314 cubic cm is 5:12. Its height is

Answer 1

Answer:

Given,

Radius of circular cone : Height of circular cone = 5 : 12

Volume = 314 cm³

To find = It's height

Let the radius be R and height be H .

Step-by-step explanation:

Radius of circular cone : Height of circular cone = 5 : 12

⇒ R / h = 5 / 12

⇒ 12 R = 5 H

⇒ R = 5 / 12 H                              ----------------------- A.

Volume of circular cone = 314 cm³ = 1/3πR²H

Putting π = 3.14 , and A. in above equation :

3.14 x 5/12 H x H x 1/3 = 314

⇒ 5 / 12 H² = 314 x 100 x 3 /314

⇒ H = √100 x 3 x 12 / 5

⇒ H = √720

⇒ H = 26.83 cm (Approx)

Thus, the height is 26 . 83 cm