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

Answer:

The height of the cone is 4.62 cm.

Step-by-step explanation:

Since, the volume of a cone is,

$V=\frac{1}{3} \pi r^2h$

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,

$121=\frac{1}{3}\pi (5)^2 h$

$121=\frac{1}{3}\times \frac{22}{7} (25)h$

$\implies h = \frac{121\times 21}{22\times 25}=\frac{2541}{550}=4.62$

Hence, the height of the cone is 4.62 cm.