what is the value of r^3 if 1/r = √0.01

Question

1.) 1000

2.) 100

3.) 0.01

4.) 0.0001

Answer 1

First, solve for r:

1. Multiply both sides by r
2. (1/r)*r = r*sqrt(0.01)
3. Divide by sqrt(0.01) to isolate r.
4. 1/sqrt(0.01) = r
5. r = 10

Then, find r^3

1. r = 10
2. 10^3 = 1,000

So, r^3 = 1,000

Answer 2

Mel V

1) 1000

Solve the given equation for r

1/r = √0.01

Multiply both sides by r

1 = r(√0.01)

Now solve for r by dividing both sides of the equation by √0.01

1/√0.01 = r

1/0.1 = r

10 = r

Now just cube r.

I hope this helps.

Answer 3

Firstly, you're gonna want to solve for r.

If 1/r = √(0.01), that means that r = 1/√0.01

Next, you need to simplify r. In it's current state, it doesn't make much sense in terms of the answer choices given to you.

Note that 0.01 = 1/100, and that the square root of any number is the same as raising that number to the half power. This means that

√(0.01) = (0.01)^(1/2) = (1/100)^(1/2)

= (1^(1/2))/(100^(1/2)) = 1/10

Plugging this into r, we have that r = 1/(1/10) = 10

And you're home free! Now, all you have to do is cube r:

r^3 = 10^3 = 1000