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yuradex [85]
3 years ago
6

A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed

inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder?
Mathematics
1 answer:
Ede4ka [16]3 years ago
5 0
Vcylinder-vcone=vair

vcylinder=hpir^2
vcone=(1/3)hpir^2




vcylinder=16*pi*5^2=400pi
vcone=(1/3)12*pi*4^2=64pi

vylinder-cone=400pi-64pi=336pi

volume is 336pi cubic centimeters or aprox 1055.5 cubic cm
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Answer:

ratios equivalent to 1/3=2/6,3/9

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aleksklad [387]
A is the correct answer.

The first term is, <span> <span>z2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> +z </span> its coefficient is <span> 1 </span>.
The last term, "the constant", is <span> -2 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -2 = -2</span> 

Step-2 : Find two factors of  -2  whose sum equals the coefficient of the middle term, which is  <span> 1 </span>.

<span><span>     -2   +   1   =   -1</span><span>     -1   +   2   =   1   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  2 
                     <span>z2 - 1z</span> + 2z - 2

Step-4 : Add up the first 2 terms, pulling out like factors :
                    z • (z-1)
              Add up the last 2 terms, pulling out common factors :
                    2 • (z-1)
Step-5 : Add up the four terms of step 4 :
                    (z+2)  •  (z-1)
             Which is the desired factorization

<span>Equation at the end of step  3  :</span><span> 3 • (z + 2) • (z - 1) = 0 </span>
8 0
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