Question

A cone shaped container has a height of 9" and diameter of 2.5" it is filled with a liquid that is worth 2 point cubic " what is the total value of the liquid in the container used 3.14

Answer 1

Multiply the total volume of the liquid in cubic inches times the price per cubic inch to find the total value of the liquid.

The volume of a cone with diameter D and height h is given by:

`V=(1)/(12)\pi D^2h`

Replace D=2.5 and h=9 to find the volume of the cone in cubic inches. Use 3.14 for the constant π:

`V=(1)/(12)(3.14)(2.5)^2(9)=14.71875`

Since the price of the liquid is $2 per cubic inch, multiply the volume by 2 to find the value of the liquid in the container:

`2*14.71875=29.4375`

To the nearest cent, the value of the liquid in the container is equal to $29.44.

Therefore, the answer is $29.44.