Question

If a cone has a volume of 121cm^3 and a radius of 5 cm, how tall is it

Answer 1

(used with a singular verb) the systematic treatment of magnitude,relationships between figures and forms, and relations betweenquantities expressed symbolically

Answer 2

The height of the cone is 4.62 cm.

Explanation:

Since, the volume of a cone is,

`V=(1)/(3) \pi r^2h`

Where, r is the radius of the cone,

h is its height,

Here, V = 121 cm³ and r = 5 cm,

Thus, by substituting the values,

`121=(1)/(3)\pi (5)^2 h`

`121=(1)/(3)* (22)/(7) (25)h`

`\implies h = (121* 21)/(22* 25)=(2541)/(550)=4.62`

Hence, the height of the cone is 4.62 cm.