Need detailed steps Oil is spilling into a circuilar puddle
Need detailed steps. Oil is spilling into a circuilar puddle on a street and the area of the spill is growing at the rate of 4 square inches per minute. How fast is the edge of the puddle moving away from the center when the radius of the puddle is 5 inches? (Be sure to give units for answer)...again, need detailed steps.
Solution
A = r2
So, dA/dt = 2r * dr/dt
or, 4 = 2**5 * dr/dt
SO. dr/dt = 0.127
Hence edgde is increasing at the rate 0.127 inch/min
