Question

For a cone, the ratio between the volume and area of its base is 11: 6. The height of the cone is:

Options

• \[1 \frac{5}{6}\] units

• 5.5 units

• 11 units

• 5 units

Answer 1

5.5 units

Explanation:

Let radius of cone be r cm and height be h cm.

Given,

For a cone, the ratio between the volume and area of its base is 11 : 6.

⇒ `("Volume of cone")/("Area of base") ​= 11/6​`

⇒ `(1/3πr^2​h)/(πr^2) ​= 11/6​`

⇒ `h/3 ​= 11/6​`

⇒ h = `11/6 ​× 3`

⇒ h = `11/2​`

h = 5.5 units.