If a snowball melts so that its surface area decreases at a rate of 7 cm/min,...
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If a snowball melts so that its surface area decreases at a rate of 7 cm/min, find the rate at which the diameter decreases when the diameter is 12 cm. 7 48 cm/min Enhanced Feedback Please try again. Keep in mind that the surface area of a snowball (sphere) with radius r is A = 4r. Differentiate this equation with respect to time, t, using the Chain Rule, to find the equation for the rate at which the area is decreasing, dA dt Then, use the values from the exercise to evaluate the rate of change of the radius of the sphere. Have in mind that the diameter is twice the radius. Need Help? Read It If a snowball melts so that its surface area decreases at a rate of 7 cm/min, find the rate at which the diameter decreases when the diameter is 12 cm. 7 48 cm/min Enhanced Feedback Please try again. Keep in mind that the surface area of a snowball (sphere) with radius r is A = 4r. Differentiate this equation with respect to time, t, using the Chain Rule, to find the equation for the rate at which the area is decreasing, dA dt Then, use the values from the exercise to evaluate the rate of change of the radius of the sphere. Have in mind that the diameter is twice the radius. Need Help? Read It
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