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50 POINTS PLS DONT JUST WAIST POINTS PLEASE HELP MEEE ANSWEEERRRRR

A. 20 cm

B. 25 cm

C. 22 cm

D. 18 cm

50 POINTS PLS DONT JUST WAIST POINTS PLEASE HELP MEEE ANSWEEERRRRR A 20 Cm B 25 Cm C 22 Cm D 18 Cm class=

Sagot :

Let's see

  • V=πr²h
  • π(8)²h=1280π
  • 64h=1280
  • h=1280/64
  • h=20cm
semsee45

Answer:

A.  20 cm

Step-by-step explanation:

Volume of a cylinder

[tex]\textsf{V}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

  • [tex]\sf V=1280 \pi \: cm^3[/tex]
  • [tex]\sf r=8\:cm[/tex]

Substituting the given values into the formula and solving for h:

[tex]\begin{aligned}\implies \sf 1280 \pi & =\sf \pi 8^2h\\\\\sf 1280 \pi & = \sf 64 \pi h\\\\\sf h & = \sf \dfrac{1280 \pi}{64 \pi}\\\\ \sf h & = \sf 20\:cm\end{aligned}[/tex]

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