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
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<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:
I and III
Step-by-step explanation:
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The correct answer should be C to this question
First find the area of the rectangle, then remove the circular area.
AB * AJ = 8 * 18 = 144 sq cm
Circle =
=
=3.14 * 16
=50.24 sq cm
144 - 50.24 = 93.76 sq cm shaded area.
