The perimeter of a rectangle is 44 inches, and its area is 112 square inches. Find the length and width of the rectangle.
1 answer:
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Answer:
Height is increasing at the rate of 14cm/s.
Step-by-step explanation:
Volume of cylinder = π
dR/dT = -2cms (-ve sign indicated decreasing rate)
we need to find
dH/dT = ?
as the volume remain constant, that means the cylinder is decreasing in area but its increasing in height.
dV/dT=0 (volume remain constant)
dV/dT= 2πR*dR/dT *H + π*dH/dT = 0
2π*10*(-2)*35 + π*10*10 * dH/dT = 0
-1400π + 100πdH/dT = 0
dH/dT= 1400π/100π
dH/dT = 14 Cm/s
This means the height is increasing at the rate of 14cm/s.