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Bad White [126]
3 years ago
9

During a construction project, heavy rain filled construction cones with water. The diameter of a cone is 12 in. and the height

is 27 in.
What is the volume of the water that filled one cone?
Enter your answer as a decimal in the box. Use 3.14 for pi.

in³
Mathematics
1 answer:
sergey [27]3 years ago
3 0
Volume of a cone = <span>πr^2(h/3)
r=6
h=27

v = </span><span>π(6^2)27/3
v = </span><span>π (36)(9)

v=</span><span>π324 in. cubed
or 
v=1,017.36 in. cubed </span>
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If a circle has a diameter of 30 meters, which expression gives its area in
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Answer:

C. 15²π

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

<u>Geometry</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

d = 30 m

<u>Step 2: Find Area</u>

  1. Substitute [D]:                    30 m = 2r
  2. Isolate <em>r</em>:                             15 m = r
  3. Rewrite:                              r = 15 m
  4. Substitute [AC]:                 A = π(15 m)²
  5. Rearrange:                        A = 15²π
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the first term is -2

\bf n^{th}\textit{ term of a geometric sequence}\\\\&#10;a_n=a_1\cdot r^{n-1}\qquad &#10;\begin{cases}&#10;n=n^{th}\ term\\&#10;a_1=\textit{first term's value}\\&#10;r=\textit{common ratio}\\&#10;----------\\&#10;a_1=-2\\&#10;r=-4&#10;\end{cases}\implies a_n=-2(-4)^{n-1}
4 0
3 years ago
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