The circular area of vision on the ground by a surveillance drone fitted with camera increases at the rate of $44 𝑚^2$ per metre as it gains vertical height. The radius of the circle on the ground increases at the rate of 6 m/s. Find the rate at which the height of the drone increases with time, at the instant when the radius of the circular area on the ground is 14 m. (𝑈𝑠𝑒 𝜋 =22/7)
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