Posted by Z32 on Thursday, September 24, 2009 at 7:54pm.
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  Christiaan, Thursday, September 24, 2009 at 8:06pm
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  Christiaan, Thursday, September 24, 2009 at 8:12pm
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:
VcVf = [(4/3)*Pi*(8 cm)^3] 
[(4/3)*Pi*(80.1 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  Z32, Thursday, September 24, 2009 at 10:45pm
Hmm. I tried that and it wasn't correct.

Calculus  Andora, Friday, November 18, 2011 at 5:08pm
The answer is 80.4248 cm^3/min.
(1/3)(4π)(1/8)(3(16)²)(0.2)
Answer This Question
Related Questions
 calculus  A spherical snowball is melting in such a way that its diameter is ...
 Math (Calculus)  A spherical snowball is melting in such a way that its ...
 MATH  A spherical snowball is melting in such a way that its diameter is ...
 related rates  A spherical snowball is melting in such a way that its diameter ...
 Calc  A spherical snowball is melting in such a way that its diameter is ...
 CAL  (1 pt) A spherical snowball is melting in such a way that its diameter is ...
 calc  A spherical snowball is melting in such a way that its diameter is ...
 math  A spherical snowball is melting in such a way that its diameter is ...
 Math!  A spherical snowball is melting in such a way that its diameter is ...
 Calc  A spherical snowball is melting in such a way that its diameter is ...
More Related Questions