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MrMuchimi
2 years ago
14

Find the volume of the cylinder.

Mathematics
1 answer:
Aneli [31]2 years ago
4 0

Answer:

144π or 452.16 units³

Step-by-step explanation:

The formula for volume of a cylinder is \pi r^2 h. We can use the given values for radius and height to find the volume of the cylinder.

<h3>Finding the Volume</h3>

V=\pi r^2 h\\V=\pi6^2(4)\\V=\pi36(4)\\V=144\pi \ OR\ 452.16

The volume of the cylinder is 144π or 452.16 units³.

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Kat owns 15% more figurines than she did last year. She purchased F figurines this year. Which of the following expressions coul
Stella [2.4K]

Answer:  F / 0.15 = 100F / 15 = 20F / 3 ≈ 6.67F.


Explanation:


1) The three expresssions,  F / 0.15;  15 F / 100; 3F / 20; are equivalent.


2) The number of figurines Kat owned last year may be expressed in terms of the number the of figurines purchased, F, this year, and the 15%, following this procedure:


  • Call n the amount of figurines owned last year.
  • F is the number of figurines purchased: F  = 15%n = 0,15n
  • Hence, you just need to clear F from the expression F = 0.15n
  • Divide both sides by 0.15:

        F / 0.15 = n or n = F / 0.15 (reflexive property)

  • To prove the equialavence of the other expresssions you just have to use the properties of multiplication or division:

       (F / 0.15) × (100 / 100) = 100F / 15

        100F / 15 = (100/5)F / (15/5) = 20F / 3 ≈ 6.67F

 



4 0
3 years ago
Read 2 more answers
2x+5x=100 x intercept​
Papessa [141]

This is an equation involving x alone, so the most you can do is solve it:

2x+5x=100x \iff 7x=100x \iff 0=93x \iff x=0

3 0
3 years ago
Daniel uses \large \frac{2}{3}cup of orange juice for every \large \frac{1}{4}cup of carrot juice to make his drink. Enter the n
USPshnik [31]

Answer:

\dfrac{8}{3}\ \text{cups of orange juice} or 2\dfrac{2}{3}\ \text{cups of orange juice} is used

Step-by-step explanation:

Daniel uses the proportions of \dfrac{2}{3} cups of orange juice and \dfrac{1}{4} cups of carrot juice to make a mixed juice.

Now, in the question 1 cup of carrot juice is used. So 4 times of the proportion of the carrot juice is used. Accordingly 4 times of the cups of orange juice will be used.

\dfrac{2}{3}\ \text{cups of orange juice}=\dfrac{1}{4}\ \text{cups of carrot juice}\\\Rightarrow 4\times \dfrac{2}{3}\ \text{cups of orange juice}=4\times \dfrac{1}{4}\ \text{cups of carrot juice}\\\Rightarrow \dfrac{8}{3}\ \text{cups of orange juice}=1\ \text{cup of carrot juice}

So for one cup of carrot juice \dfrac{8}{3}\ \text{cups of orange juice} or 2\dfrac{2}{3}\ \text{cups of orange juice} is used.

4 0
2 years ago
If a 3-pound bunch of bananas cost $1.50, how
LUCKY_DIMON [66]

Answer:

Approximately 3 bunches would equal $4.50. So you should be able to buy at least 4 bunches which would be 10 pounds

4 0
3 years ago
tomas is thinking of a number. If he triples his number and subtracts 13 the result is 305. Of what number is tomas thinking
dezoksy [38]
3x-13=305

3x=305+13

3x=318

(3x)÷3=318÷3

x=106

check.. (3×106)-13=305

318-13=305

305=305



7 0
3 years ago
Read 2 more answers
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