Calculus Related Rates:
If a snowball melts so that its surface area decreases at a rate of 7 cm2/min, find the rate at which the diameter decreases when the diameter is 10 cm.

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06-08-2016
Mathematics

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Calculus Related Rates:
If a snowball melts so that its surface area decreases at a rate of 7 cm2/min, find the rate at which the diameter decreases when the diameter is 10 cm.

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meerkat18 meerkat18 · Answer 1 · 2016-08-10T12:57:41+02:00

The snowball is a spherical figure and the surface area of the ball is calculated through the equation,
S = πD²
where S is surface area and r is the radius. Differentiating the equation gives,
dS/dt = 2πD(dD/dt)
Substituting the given,
7 = 2π(10)(dD/dt)
The value of dD/dt from the given equation is 0.11 cm/min.

Calculus Related Rates: If a snowball melts so that its surface area decreases at a rate of 7 cm2/min, find the rate at which the diameter decreases when the diameter is 10 cm.

Respuesta :

Otras preguntas

Calculus Related Rates:
If a snowball melts so that its surface area decreases at a rate of 7 cm2/min, find the rate at which the diameter decreases when the diameter is 10 cm.