Answer: 1200pi cubic cm per sec
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Work Shown:
dr/dt = 3 is the rate of change of the radius
V = (4/3)pi*r^3 ..... volume of a sphere
dV/dt = (4/3)*3*pi*r^2*dr/dt ... chain rule
dV/dt = 4*pi*r^2*dr/dt
dV/dt = 4*pi*r^2*3
dV/dt = 12*pi*r^2
dV/dt = 12*pi*10^2 ... plug in r = 10
dV/dt = 1200pi
3(x-2) = x + 4 ...............given
3x - 6= x + 4 .................distributive property
2x - 6 = 4 ......................addition property of equality
2x = 10 .........................addition property of equality
x = 5 ..............................division property of equality
I think the second one is correct
A: 8,250
B: 22
Step-by-step explanation:
A: 15 * 250 = 3,750 + 4,500 = 8,250
B: 10,000 - 4,500 = 5,500/250 = 22. 22 * 250 + 4,500 = 10,000