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Eddi Din [679]
1 year ago
13

What happens to the volume of a sphere when it is quadrupled?

Mathematics
2 answers:
Alekssandra [29.7K]1 year ago
8 0

Answer:

What happens to the surface area and volume of a Spheres radius is quadrupled?, When you quadruple the radius, you multiply the volume by 4³

Step-by-step explanation:

grigory [225]1 year ago
5 0
When the radius is quadrupled, the volume is multiplied by 43 = 64. When the radius is quintupled, the volume is multiplied by 53 = 125. When the radius is hextupled, the volume is multiplied by 63 = 21.
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Can someone please help me on this question <br> I will give brainliest
xz_007 [3.2K]

Answer:

A) 3 in

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

<u>Geometry</u>

  • Surface Area of a Sphere: SA = 4πr²
  • Diameter: d = 2r

Step-by-step explanation:

<u>Step 1: Define</u>

SA = 23 in²

<u>Step 2: Find </u><em><u>r</u></em>

  1. Substitute [SAS]:                    23 in² = 4πr²
  2. Isolate <em>r </em>term:                         23 in²/(4π) = r²
  3. Isolate <em>r</em>:                                  √[23 in²/(4π)] = r
  4. Rewrite:                                   r = √[23 in²/(4π)]
  5. Evaluate:                                 r = 1.35288 in

<u>Step 3: Find </u><em><u>d</u></em>

  1. Substitute [D]:                    d = 2(1.35288 in)
  2. Multiply:                              d = 2.70576 in
  3. Round:                                d ≈ 3 in
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