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erastovalidia [21]
2 years ago
9

If the radius of the base of the cone is 8/3 units and the height is 12 units, what is the volume?

Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
4 0

Answer:

89.32

Step-by-step explanation:

The volume of a cone with radius 8/3 and height 12 is

V= \frac{1}{3}\pi r^2 h=  \frac{1}{3}\pi (\frac{8}{3}^2)(12) =  \frac{1}{3}\pi (\frac{64}{9})(12)= \frac{1*64*12}{3*9}\pi = \frac{256}{9} \pi = 89.32.

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Answer:

n = 8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

6n + 7 = 55

<u>Step 2: Solve for </u><em><u>n</u></em>

  1. Subtract 7 on both sides:                    6n = 48
  2. Divide 6 on both sides:                       n = 8

<u>Step 3: Check</u>

<em>Plug in n into the original equation to verify it's a solution.</em>

  1. Substitute in <em>n</em>:                    6(8) + 7 = 55
  2. Multiply:                               48 + 7 = 55
  3. Add:                                     55 = 55

Here we see that 55 does indeed equal 55.

∴ n = 8 is a solution of the equation.

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