Question

The radius and the height of a cone are in the ratio 7:
3. If the area of the base is 7546 cm?, then the height
of the cone is​

Answer 1

Hello Diyandeshmukh !

Answer:

21 cm

Step-by-step explanation:

Given :

Radius : Height = 7 : 3

Area of the base of the cone = 7546 cm²

Formula :

Assuming that the cone mentioned in the question is a Right Circular Cone,

Area of a circle = πr² units² (Where r is the radius)

Procedure :

Assuming that the cone has a circular base, the following is the answer. If the cone's base is not circular, the procedure/Concept is the same, the values and formulae will be different.

Let the Radius of the base of the cone = 7x cm

Let the Height of the cone = 3x cm

πr² = 7546 cm²

Assuming π = 22/7,

⇒ r² = 7546 × (7/22)

⇒ r² = 343 × 7

⇒ r² = 7⁴ cm²

∴ r = + 49 cm

From Above,

7x = 49

∴ x = 7

Hence the height of the cone is 3x = 3(7) = 21 cm.

Thanks !