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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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20. The H.M. between 2 and 8 is<br>(1 marks )​
e-lub [12.9K]

Answer as an improper fraction = 16/5

Answer as a mixed number = 3 & 1/5

Answer in decimal form = 3.2

All of those values represent the same thing, but written in a different way.

=============================================================

Explanation:

I'm assuming HM stands for Harmonic Mean in this case.

If so, then we apply the reciprocal operation to each value to get 1/2 and 1/8 (from 2 and 8 respectively).

Add up those fractions:

1/2 + 1/8 = 4/8 + 1/8 = 5/8

Now we'll divide n = 2 over that result. The n = 2 refers to the number of items in the original set.

n divide over (5/8) = 2*(8/5) = 16/5 which is the answer as an improper fraction

-----------

To convert to a mixed number, we can do the following:

16/5 = (15+1)/5

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