The surface area of the sphere is:
A = 4 * pi * r ^ 2
Deriving we have:
A '= 8 * pi * r * r'
We clear the speed:
r '= A' / (8 * pi * r)
Substituting values:
r '= 24 / (8 * pi * 3)
r '= 1 / pi inch / sec
Then, the volume of the sphere is:
V = (4/3) * (pi) * (r ^ 3)
Deriving we have:
V '= (3) * (4/3) * (pi) * (r ^ 2) * (r')
Substituting values:
V '= (3) * (4/3) * (pi) * (3 ^ 2) * (1 / pi)
Rewriting:
V '= (4) * (9)
V '= 36 inch3 / sec
Answer:
the volume of the ice is changing at 36 inch3 / sec at that moment
Answer:
x = 2
Step-by-step explanation:
note that 4096 =
, then
= 
Since bases on both sides are equal, both 8 , then equate the exponents
2x = 4 ( divide both sides by 2 )
x = 2
Answer:
Step-by-step explanation:
One unit up: y = x + 1
One unit down: y = x - 1
One unit to the left: y = x + 1
One unit to the right: y = x - 1
Answer:

And i fwe look into the normalstandar dtable we can find the desired probability:

And then the The area to the right of z = 1.51 is 0.0655
Step-by-step explanation:
For this case we want to find the following probability:

And for this case we can use the normal standard distribution and the complement rule and we have this:

And i fwe look into the normalstandar dtable we can find the desired probability:

And then the The area to the right of z = 1.51 is 0.0655