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VLD [36.1K]
3 years ago
6

What is the approximate volume of a tree trunk is the trunk is 12 feet tall with a circumference of 4.5

Mathematics
1 answer:
kakasveta [241]3 years ago
4 0
We need to solve for the radius
circumference = radius * 2 * PI
radius = circumference / (2*PI)
radius = 4.5 / ( <span> <span> <span> 6.2831853072 </span> </span> </span> )
radius = <span> <span> <span> 0.7161972439 </span> </span> </span> feet
Formula for cylinder volume:
<span>Volume = </span><span>π • r² • height</span>
Volume = <span>π • (</span><span> <span> <span> 0.7161972439)^2 * 12
</span></span></span>Volume = PI * <span><span>0.5129384922 </span> * 12
Volume  </span><span><span><span>19.3373255857 </span> cubic feet
</span> </span>

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Jane uses 11 cups of flour for 5 cakes. how much would she need for 60 cakes?​
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132

Step-by-step explanation:

11 / 5 = 2.2

2.2 x 60 = 132

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Karl earned scores of 58, 88, 80, and 70 on his first 4 Chemistry tests. What is the minimum score he needs to earn on his fifth
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79

Step-by-step explanation:

(58+88+80+70+ x)/5=75

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8 9 13. Jenny bought kg of berries from the market and another 3 kg of berries from a fruit stall. How much berries did she buy
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she bought 5 berries in total

Step-by-step explanation:

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Each of six jars contains the same number of candies. Alice moves half of the candies from the first jar to the second jar. Then
tino4ka555 [31]

Answer:

The number of candies in the sixth jar is 42.

Step-by-step explanation:

Assume that there are <em>x</em> number of candies in each of the six jars.

⇒ After Alice moves half of the candies from the first jar to the second jar, the number of candies in the second jar is:

\text{Number of candies in the 2nd jar}=x+\fracx}{2}=\frac{3}{2}x

⇒ After Boris moves half of the candies from the second jar to the third jar, the number of candies in the third jar is:

\text{Number of candies in the 3rd jar}=x+\frac{3x}{4}=\frac{7}{4}x

⇒ After Clara moves half of the candies from the third jar to the fourth jar, the number of candies in the fourth jar is:

\text{Number of candies in the 4th jar}=x+\frac{7x}{4}=\frac{15}{8}x

⇒ After Dara moves half of the candies from the fourth jar to the fifth jar, the number of candies in the fifth jar is:

\text{Number of candies in the 5th jar}=x+\frac{15x}{16}=\frac{31}{16}x

⇒ After Ed moves half of the candies from the fifth jar to the sixth jar, the number of candies in the sixth jar is:

\text{Number of candies in the 6th jar}=x+\frac{31x}{32}=\frac{63}{32}x

Now, it is provided that at the end, 30 candies are in the fourth jar.

Compute the value of <em>x</em> as follows:

\text{Number of candies in the 4th jar}=40\\\\\frac{15}{8}x=40\\\\x=\frac{40\times 8}{15}\\\\x=\frac{64}{3}

Compute the number of candies in the sixth jar as follows:

\text{Number of candies in the 6th jar}=\frac{63}{32}x\\

                                                    =\frac{63}{32}\times\frac{64}{3}\\\\=21\times2\\\\=42

Thus, the number of candies in the sixth jar is 42.

4 0
3 years ago
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