- #1
JKLM
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How do you get the volume of an expanding object?
For example:
A sphere's is increasing at 12ft/sec, the volume is 36, how fast is the surface area of a sphere
V=4*pi*r^3/3 S=4*pi*r^2
dV/dt= 12
So i took the derivative of the volume function
dV/dt=4*pi*r^2*dr/dt
12=4*pi*r^2*dr/dt
how do you solve for dr/dt
For example:
A sphere's is increasing at 12ft/sec, the volume is 36, how fast is the surface area of a sphere
V=4*pi*r^3/3 S=4*pi*r^2
dV/dt= 12
So i took the derivative of the volume function
dV/dt=4*pi*r^2*dr/dt
12=4*pi*r^2*dr/dt
how do you solve for dr/dt