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yKpoI14uk [10]
3 years ago
9

The volume of a sphere is 904.32 mm3. What is the approximate volume of a cone that has the same height and a circular base with

the same diameter? Use 3.14 for π and round to the nearest hundredth.
Mathematics
1 answer:
mariarad [96]3 years ago
4 0

Answer:

V_c=452.16\ mm^3

Step-by-step explanation:

Given that,

The volume of a sphere is 904.32 mm³.

The volume of a cone that has the same height and circular base with the same diameter is:

V_c=\dfrac{1}{3}\pi r^2 \times 2r=\dfrac{2}{3}\pi r^3

The volume of a sphere with the same radius is:

V_s=\dfrac{4}{3}\pi r^3=2\times \dfrac{2}{3}\pi r^3

So, the volume of sphere is :

V_c=\dfrac{V_s}{2}\\\\V_c=\dfrac{904.32 }{2}\\\\V_c=452.16\ mm^3

So, the volume of the cone is 452.16\ mm^3.

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The answer is a) 16.
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4x−3=16=4(x−3)=16 <br> Do they have the same solution?
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Answer:

no

Step-by-step explanation:

4x -3 = 16

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4x-12=16

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You select a card at random from the cards that make up the word “replacement”. Without replacing the card, you choose a second
musickatia [10]
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8 0
3 years ago
An angle measures 111.4° more than the measure of its supplementary angle. What is the measure of each angle?
fomenos

The measure of the supplementary angles are 34.3 and 145.7 degrees.

<h3>What are supplementary angles?</h3>

Supplementary angles are those angles that sum up to 180 degrees.

In other words, two angles are Supplementary when they add up to 180 degrees.

Therefore, the angles measures 111.4° more than the measure of it's supplementary angle.

Hence,

let

x = measure of the other angle

x + x + 111.4 = 180

2x + 111.4 = 180

subtract 111.4 from both sides

2x + 111.4 - 111.4 = 180 - 111.4

2x = 68.6

divide both sides by 2

x = 68.6 / 2

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Other angle  = 34.3 + 111.4 = 145.7°

Therefore, the measure of the supplementary angles are 34.3 and 145.7 degrees.

learn more on supplementary angles here: brainly.com/question/15966137

#SPJ1

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1 year ago
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