the cone - shaped container for the echidna treats holds 218 cubic centimeters of ants and has a radius of 4…

the cone - shaped container for the echidna treats holds 218 cubic centimeters of ants and has a radius of 4 centimeters. rounded to the nearest whole number, what is the height of the container? use 3.14 for π. height =? centimeters

Answer

Explanation:

Step1: Recall volume formula for cone

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

Step2: Rearrange formula for height

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

Step3: Substitute given values

Given $V = 218$ cubic - cm, $r = 4$ cm and $\pi=3.14$. Then $h=\frac{3\times218}{3.14\times4^{2}}$

Step4: Calculate the value of h

First, calculate the denominator: $3.14\times4^{2}=3.14\times16 = 50.24$. Then, $3\times218 = 654$. So, $h=\frac{654}{50.24}\approx13$