4 .3 is V = πr³, wh 3 what is the formula in terms of r? please help
1 answer:
The rearranged formula for volume in terms of radius,r is .
What is volume?
- Volume is a measure of enthralled three-dimensional space.
- It's frequently quantified numerically using SI-deduced units or by colorful Homeric units( similar to the gallon, quart, boxy inch).
- The description of length( cubed) is interrelated with volume. The volume of a vessel is generally understood to be the capacity of the vessel; i.e., the quantum of fluid( gas or liquid) that the vessel could hold, rather than the quantum of space the vessel itself displaces.
- In ancient times, volume is measured using analogous-structured natural holders and latterly on, standardized holders.
- Some simple three-dimensional shapes can have their volume fluently calculated using computation formulas.
- Volumes of more complicated shapes can be calculated with integral math if a formula exists for the shape's boundary.
Volume, V =
Rearranging,
r =
The rearranged formula for volume in terms of radius,r is .
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Answer:
= 5
Step-by-step explanation:
Substitute the given values into the formula
16 = × 4(3 +
)
16 = 2(3 + ) ( divide both sides by 2 )
8 = 3 + ( subtract 3 from both sides )
5 =
You would expand becausee it isn't equal to anything
(x+3)^3=(x+3)(x+3)(x+3)
we can use binomial theorem or pascal's triangle
anyway, pascal's triangle is more practicl for this one
so
for the 3rd power
a=x
b=3
=
(x+3)^3=(x+3)(x+3)(x+3)
we can use binomial theorem or pascal's triangle
anyway, pascal's triangle is more practicl for this one
so
for the 3rd power
a=x
b=3
Answer:
- <u><em>The height of the missing rectangle is 0.15</em></u>
Explanation:
The image attached has the mentioned <em>histogram</em>.
Such histogram presents the relative frequencies for the clases [0,1], [1,2],[2,3], [4,5], and [5,6] Silver in ppm.
Only the rectangle for the class [3,4] is missing.
The height of each rectangle is the relative frequency of the corresponding class.
The relative frequencies must add 1, because each relative frequency is calculated dividing the absolute class frequency by the total number in the sample; hence, the sum of all the relative frequencies is equal to the total absolute class frequencies divided by the same number, yielding 1.
In consequence, you can sum all the known relative frequencies and subtract from 1 to get the missing relative frequency, which is the height of the missing rectangle.
<u>1. Sum of the known relative frequencies</u>:
- 0.2 + 0.3 + 0.15 + 0.1 + 0.1 = 0.85
<u>2. Missing frequency</u>:
- 1 - 0.85 = 0.15
<u>3. Conclusion</u>:
- The height of the missing rectangle is 0.15
