Find the volume of a right circular cone that has a height of 13.8 m and a base with a circumference of 15.8 m. Round your answer to the nearest tenth of a cubic meter.

Step-by-step explanation:

Given

--- height

--- circumference

Required

Determine the volume

First, we calculate the radius of the base

The circumference is:

Make r the subject

The volume is then calculated as:

This gives:

Take

--- approximated

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

answer: its the third option.

step-by-step explanation:

i just took the test.