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joja [24]
3 years ago
9

Cylinder has a radius of 12 inches and a height of 6 inches. Cylinder B has a volume of 648n. What is the percent change in the

volume between cylinders A and B?
A. Cylinder B is 50% smaller than cylinder A

B. Cylinder B is 25% smaller than cylinder A

C. Cylinder B is 150% bigger than cylinder A

D. Cylinder B is 200% bigger than cylinder A
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
3 0

so their difference is 864π - 648π = 216π.

if we take 864π to be the 100%, what is 216π off of it in percentage?

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\bold{\huge{\orange{\underline{ Solution }}}}

\bold{\underline{ Given \: Rules}}

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\bold{\underline{ Let's \: Begin}}

<u>According </u><u>to </u><u>the </u><u>Second</u><u> </u><u>rule </u><u>:</u><u>-</u>

\sf{ 75+b+83=76+80+d=a+81+85+78+c+e }

\sf{ 158 + b = 156 + d = 166 + a = 78 + c + e ...(1)}

<u>According </u><u>to </u><u>the </u><u>first </u><u>rule </u><u>:</u><u>-</u><u> </u>

\sf{ 75+76+a+78 = b+80+81+c = 83+86+d+e}

\sf{ 229 + a = 161 + b + c = 168 + d + e ...(2)}

<u>From </u><u>(</u><u> </u><u>1</u><u> </u><u>)</u><u> </u><u>we </u><u>got </u><u>:</u><u>-</u>

\sf{ 158 + b = 166 + a, 156 + d = 166 + a }

\sf{ b = 166 - 158 + a,  d = 166 - 156 + a }

\sf{ b = 8 + a,  d = 10 + a ...(3)}

<u>Subsitute </u><u>(</u><u>3</u><u>)</u><u> </u><u>in </u><u>(</u><u> </u><u>2</u><u> </u><u>)</u><u> </u><u>:</u><u>-</u>

\sf{229+a = 161+8+a+c = 168+10+a+e}

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\sf{ 158 + b = 156 + d = 166 + a = 78 + 60 + 51 }

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