The answer is true hope it helped
Answer:
Explanation:
Given that,
A sphere has a volume of V and a radius r
Volume of sphere cam be determine using the formula
V = 4/3 πr³
V = 4πr³ / 3.
If the radius of the sphere is increasing by
dr / dt = 5cm / min
How fast is the volume increasing when r = 10cm
dV / dt =?
From V = 4πr³ / 3
We can calculate dV/dr
dV/dr = 12πr² / 3
dV/dr = 4πr²
Then,
We want to find dV/dt
Using chain rule
dV/dt = dV/dr × dr / dt
dV/dt = 4πr² × 5
dV/dt = 20πr²
So, at r = 10
dV/dt { 20π × 10²
dV/dt = 6283.19 cm/min
The rate at which the volume increase is 6283.19 cm/min
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Hello,
I think that A is the right one.
