A formula for the volume of a sphere is V=4/3 pie r^2. If the radius is 6c^2d^3, what is the volume of the sphere?

a. 288 pie c^6d^9
b. 288 pie c^5d^6
c. 8 pie c^2d^9
d. 216 pie c^6d^9

If you could explain this to me.thanks

and how do you find x int of a linear function. I've forgotten how to find it. thanks

a. Cube 6c^2d^3 and multiply the result by 4*pi/3

To find the volume of a sphere, we can use the formula V = (4/3) * π * r^3, where V is the volume and r is the radius.

In this case, the given radius is 6c^2d^3. Let's substitute this value into the formula to find the volume:

V = (4/3) * π * (6c^2d^3)^3
= (4/3) * π * (216c^6d^9)

Simplifying further:

V = (4/3) * 216 * π * c^6 * d^9
= 288 * π * c^6 * d^9

Therefore, the volume of the sphere is 288πc^6d^9.

So, the correct answer is option d. 216πc^6d^9.

Now, let's move on to the second part of your question regarding finding the x-intercept of a linear function.

To find the x-intercept of a linear function, you need to set the y-value equal to zero and solve for x. An x-intercept is the point on the graph where the function crosses the x-axis.

Given a linear function in the form y = mx + b, where m represents the slope and b represents the y-intercept, to find the x-intercept, set y = 0:

0 = mx + b

Now, solve for x by isolating the variable:

mx = -b

Divide both sides of the equation by m:

x = -b/m

So, the x-intercept of a linear function is -b/m.