Answer:
Step-by-step explanation:
Answer:
531,441·g^6·h^8
Step-by-step explanation:
The operative rule of exponents is ...
(a^b)^c = a^(b·c)
Working from the inside out, according to the order of operations, we get ...
= (9^3·g^3·h^4)^2
= 729^2·g^(3·2)·h^(4·2)
= 531,441·g^6·h^8
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
