Answer:
$8.
Step-by-step explanation:
See attached picture.
So using the formula for the volume of a cone:
r^2pi x h/3
The height is always 4 times the radius, so:
h=4r
Now putting the values into the original formula:
r^2pi x 4r/3
Now to see how much the radius increases per second:
r^2pi x 4r/3=300pi
r^2 x 4r/3=300
r^2 x 4r=900
r^2 x r=225
r^3=225
The radius increases by the cubic square root of 225 cm per second.
f(s)= 225^1/3 cm
To know what to do first in a math problem we look to order of operations... PEMDAS stands for parentheses, exponents, multiplication, division, addition, and subtraction. So to begin we look for parentheses... do we have any? Why, yes, yes we do. Let's work!
(3+3) + 6 / 3 + 6 =
Add 3+3 in the parentheses. Since there is nothing else, the parentheses can go away.
6 + 6 / 3 + 6 =
Now, any exponents? Nope... Multiplication? Nope... division? Yes! Let's go!
6 + 2 + 6 =
Now all we have left is addition... Go for it!
8 + 6 = 14
Done!
85.25 would be one thenth of 8.524