...........................................................
9514 1404 393
Answer:
8000π mm^3/s ≈ 25,133 mm^3/s
Step-by-step explanation:
The rate of change of volume is found by differentiating the volume formula with respect to time.
V = 4/3πr^3
V' = 4πr^2·r'
For the given numbers, this is ...
V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s
_____
<em>Additional comment</em>
By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.
Answer:
sum= -3 product=-4
Step-by-step explanation:
2x^2-2x+8x-8
2x(x-1)+8(x-1)
(2x+8)(x-1)
x=-4 x=1
1a. Split the larger piece(1/3) into half to show the two pieces
1b. Both are 3/6 or 1/2
2a. It shows 1/2 +1/4
2b.cut it so there are 3 1/4 pieces, so cut the 1/2 piece horizontally in the middle
2c. 2/4 + 1/4 = 3/4. 1/2 + 1/4 = 3/4
