To solve the problem shown above, you must apply the proccedure shown below:
1. You must use tthe formula for calculate the volume of a sphere, which is:
V=4πr³/3
V is the volume of the sphere.
r is the radius of the sphere (r=3.5 inches)
2. When you susbstitute these values into the formula shown above, you obtain the volume of the sphere. Therefore, you have:
V=4πr³/3
V=4π(3.5 inches)³/3
3. Therefore, the answer is:
V=179.5 inches³
<h2>
At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.</h2>
Step-by-step explanation:
We have equation for volume of a sphere

where r is the radius
Differentiating with respect to time,

Given that
Radius, r = 24 cm

Substituting

At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.
Answer:
9
Step-by-step explanation:
.15/1=x/60
100 • x = 1x
.15 • 60= 9
1x/1=9/1
x=9
Answer:

Step-by-step explanation:
Given
--- slope

Required
Determine the equation and plot the graph
The formula for the equation is:

This gives:


Open bracket


<em>See attachment for graph</em>