If the radius of a melting snowball decreases at a rate of 5 ins/min, find the rate at which the volume is decreasing when the snowball has diameter 4 inches

The rate at which the volume is decreasing when the snowball has a diameter of 4 inches is approximately 251.327 cubic inches per minute.

Step-by-step explanation:

Let suppose that snowball geometry correspond to a sphere. In this case, the volume of the sphere is:

(Eq. 1)

Where:

- Radius of the sphere, measured in inches.

- Volume of the sphere, measured in cubic inches.

We know that volume decreases due to melting, so we need an expression of the rate of change of volume in time. By differentiating (Eq. 1) we get:

(Eq. 2)

Where:

- Rate of change of the volume of the snowball in time, measured in cubic inches per minute.

- Rate of change of radius of the snowball in time, measured in inches per minute.

If we know that and , the rate at which the volume of the snowball is decreasing is:

The rate at which the volume is decreasing when the snowball has a diameter of 4 inches is approximately 251.327 cubic inches per minute.

correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.

$54.99

step-by-step explanation:

$54.99 includes 500 min. if she does not exceed 500 min then her bill is $54.99