Mathematics, 22.02.2022 18:00 jhanley5862

What prism or other 3-dimensional shape would you use to model the tree trunk below? (Rectangular prism, triangular prism, square prism, or cylinder). If the height of the tree trunk is 13 ft and the radius is 1.5 ft, what is the volume in cubic feet?

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Answer from: rbalexander25

VOLUME OF A CYLINDERProblem:

What prism or other 3-dimensional shape would you use to model the tree trunk below? (Rectangular prism, triangular prism, square prism, or cylinder). If the height of the tree trunk is 13 ft and the radius is 1.5 ft, what is the volume in cubic feet?

$\color{hotpink} \bold{91.85 \: \: ft}$

— — — — — — — — — —

— I will use cylinder to model the tree trunk since it's looks like. (Please refer to the pic)

Formula: $\underline{ \boxed{ \sf \: V=πr²h}}$

where,

V is the Volumeπ (pi) is the constant 3.14r is the radiush is the height

– This formula is used when the radius of the base is given.

Solution:

Remember that radius has to be multiplied by itself (squared). And pi (π) is the constant 3.14.

– Using the formula above, substitute the givens in the formula then solve.

$V=3.14 \times (1.5)² \times 13$ $V=3.14 \times (2.25 \times 13)$ $V= \underline{ \boxed{ \blue{ 91.85 \: ft ^{3} }}}$

Hence, the volume is 91.85 ft³.

_______________∞_______________

What prism or other 3-dimensional shape would you use to model the tree trunk below? (Rectangular pr

Answer from: Quest

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x-> and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)

Answer from: Quest

unless you made a typo, the answers are both a and c.

step-by-step explanation:

1.5/3 is .5 whereas 3/9 is .3333333 not proportional

22/33 is .66666 and 4/6 is also .66666 proportional

2/4 is .5 whereas 142/213 is .66666 not proportional

14/7 is 2 and 7/3.5 is also 2 proportional

you could've also checked it by doing this simple division:

if the larger fraction divides with the smaller fraction to equal 1, it is proportional. so let me show you what i mean:

when i divide 22/33 by 4/6 i get 1, so we know it is proportional, and it is the same with 14/7 and 7/3.5. now if i divide 3/9 by 1.5/3 i get .66666 so therefore we know it is not proportional.

there are many ways to do this so i wanted to show you some possible ways.

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