# Calculus

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A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.2 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 16 cm.

• Calculus -

The diameter of the sphere is decreasing at 0.2 cm/min. This means that its radius is decreasing by 0.1 cm/min.

The formul

• Calculus -

The diameter of the sphere is decreasing at 0.2 cm/min. This means that its radius is decreasing by 0.1 cm/min. We also know its current radius is 8 cm.

The formula for the volume of a sphere is:
V= (4/3)*Pi*r^3

So, we can calculate the volume difference in 1 minute, by subtracting its volume after one minute from its current volume:

Vc-Vf = [(4/3)*Pi*(8 cm)^3] -
[(4/3)*Pi*(8-0.1 cm)^3]
= 2144.66 cm^3- 2065.24 cm^3= 79.42 cm^3

This means its volume is decreasing by 79.42 cm^3/min

• Calculus -

Hmm. I tried that and it wasn't correct.

• Calculus -

(1/3)(4π)(1/8)(3(16)²)(-0.2)

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