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:
167 degrees
Step-by-step explanation:
supplementary angles equal to be 180 degrees, so subtract the given angle from 180 to find the missing angle.
180-13=167
Answer:
the mid point formula for this is x+x/2 and y+y/ 2 so #9would be 1/2, 3/2
Y = 6
Since there is no slope the equation would look like this y=0x+6
Well 0 times x is 0 so y=+6
Answer:
20
Step-by-step explanation:
Let's start by rewriting the second equation in terms of "x":
Subtract y from both sides:
Now, substitute "5-y" for "x" in the first equation:
Note that:
Cancel out like terms:
Subtract 25 from both sides:
Divide both sides by -10
Now, substitute this value back into either of the equations to solve for x.
Add 15/2 to both sides:
Now, find the difference:
