What is the height of the container?

Question

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 pi

Answer 1

V=1/3 *pi* r^2 * h

218=1/3(3.14)(4)^2 h

Clear fraction

3(218)=3.14(16)h

Then, divide by 3.14(16) to get h alone:

[3(218)]÷[3.14(16)]

Multiply out numerator and denominator:

h=654÷50.24

h=13 cm to nearest whole number

Answer 2

The formula for the volume of a cone is πhr²/3

We are given the volume and radius, so we need to set up an equation.

We use πhr²/3 = volume to get that π * h * (4)²/3 = 218

Multiplying out π * 4² /3, we get that 16.74h = 218

Dividing both sides by 16.74, we get that h = 13.02 cm.

Answer 3

Recall the formula for the volume a cone is

V = 1/3 * pi * r^2 * h

We are given that the Volume is 218 cubic centimeters, the Radius is 4 cm, and pi is 3.14. Plugging in yields

218 = 1/3 * 3.14 * 4 * 4 * h

Solving for h gives h = 13 approximately.