The equation for volume of a sphere is:
Volume = 4/3 * PI * r^3
r is the radius = 1 inch
Volume is given as 4 cubic inches per second increase.
Given: dv/dt = 4 cubic inches per second.
Need to find dr/dt
Formula for volume of a sphere is: V = 4/3 * π * r^3
so now we have:
4 in^3 = 4 * π *1^2
Divide both sides by 4 * π *1^2
4 in^3 / 4π = 1/π inch per second.
The answer is 1/π inch per second ( exact answer)
or as a decimal: 0.3183 ( round as needed).
Answer:
Step-by-step explanation:
<u>Given information</u>
<u>Derived expression from the given information</u>
<em>Presumably, I think this is a combination of segments</em>
<u>Substitute values into the given expression</u>
<u>Combine like terms</u>
<em>The following is the expression</em>
<u>Subtract 3 on both sides</u>
<u>Subtract x on both sides</u>
<u>Substitute the x value into corresponding expressions to determine the final value</u>
Hope this helps!! :)
Please let me know if you have any questions
You can write this two ways - as a list of prime factors, or combine like factors and represent their quantity with an exponent.
If you begin by dividing by two, you can do that six times, with a three as the remaining prime factor.
2·2·2·2·2·2·3
OR
2∧6 · 3
I believe the answer should be A {(1, 6.0),(2, 5.75),(3, 5.50)}
