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DedPeter [7]
3 years ago
7

A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 2x. Find the height of t

he cone in terms of y.
Mathematics
1 answer:
weqwewe [10]3 years ago
7 0
V(cylinder)=πR²H
Radius of the cylinder R=x, height of the cylinder H=y.
We can write for the cylinder
V(cylinder)=πx²y

V(cone) =(1/3)πr²h
Radius of the cone r=2x.
We can write for the cone
V(cone)= (1/3)π(2x)²h=(1/3)π *4*x²h

V(cylinder) =V(cone)
πx²y=(1/3)π *4*x²h
y=(4/3)*h
h=(3/4)*y


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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  2. Parenthesis
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Step-by-step explanation:

<u>Step 1: Define</u>

y = 2x + 12

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<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                                                                                                y = 2(3) + 12
  2. Multiply:                                                                                                           y = 6 + 12
  3. Add:                                                                                                                 y = 18
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Please see attachment.

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Step-by-step explanation:

Hope this helps!

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Question 13

(A) Sine function

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(1) Amp = 1; a = 1

(2) The graph is symmetrical about the x-axis. k = 0.

(3) Per = π. b = 2

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The equation is

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