Answer:
18.84
Step-by-step explanation:
We have to use the circumference formula: pi x r x 2. The diameter is 6, so the radius is 3. 3.14 is pi in this scenario. 3.14 x 3 x 2 = 18.84
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Calculus</u>
Derivatives
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Taking Derivatives with respect to time
Step-by-step explanation:
<u>Step 1: Define</u>
Given:
<u />
<u />
<u />
<u />
<u />
<u />
<u />
<u>Step 2: Solve for </u><em><u>r</u></em>
- Substitute:

- Isolate <em>r</em> term:

- Isolate <em>r</em>:
![\sqrt[3]{\frac{77}{\frac{4}{3} \pi}} = r](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B77%7D%7B%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%7D%7D%20%20%3D%20r)
- Evaluate:

- Rewrite:

<u>Step 3: Differentiate</u>
<em>Differentiate the Volume Formula with respect to time t.</em>
- Define:

- Differentiate [Basic Power Rule]:

- Simplify:

<u>Step 4: Find radius rate</u>
- Substitute in variables:

- Isolate dr/dt rate:

- Evaluate:

- Rewrite:

- Round:

Our radius is decreasing at a rate of -1.325 cm per second.
8.4 because 6 would round up to 10 and 10+30 =40 for 8.40 or just 8.4