# Calculus

posted by .

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 -

The answer is 80.4248 cm^3/min.
(1/3)(4π)(1/8)(3(16)²)(-0.2)

## Similar Questions

1. ### MATH

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 8 cm?
2. ### Math!

A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 10 cm. (Note the answer is a positive number).
3. ### math

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 12 cm. (Note the answer is a positive number).
4. ### Calc

A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 10 cm. (The answer is a positive number).
5. ### calc

A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 16 cm. (Note the answer is a positive number).
6. ### CAL

(1 pt) A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.3 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 8 cm. (Note the answer is a positive number).
7. ### related rates

A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 8 cm. (Note the answer is a positive number).
8. ### calculus

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 8 cm. (Note the answer is a positive number).
9. ### Math (Calculus)

A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.3 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 10 cm. Can someone help & explain how to solve this question?
10. ### Calc

A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.3 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 13 cm. (Note the answer is a positive number).

More Similar Questions