A population of kangaroos is growing at a rate of 2% per year, compounded continuously. If the rate continues, how many years wi
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Answer:
The volume of the cone is
Step-by-step explanation:
The given cone has a radius of 10 cm and and height of 9 cm.
The volume of a cone is given by:
We substitute r=10 and h=9 , to obtain:
Simplify exponents to get:
Simplify:
Therefore the volume of the cone is
To get rid of 
, you have to take the third root of both sides:
![\sqrt[3]{x^{3}} = \sqrt[3]{1}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%5E%7B3%7D%7D%20%3D%20%5Csqrt%5B3%5D%7B1%7D%20)
But that won't help you with understanding the problem. It is better to write
as a product of 2 polynomials:
From this we know, that
is the solution. Another solutions (complex roots) are the roots of quadratic equation.
But that won't help you with understanding the problem. It is better to write
From this we know, that