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39 votes
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-example-1
User Ahmed Ramzy
by
3.0k points

2 Answers

11 votes
11 votes

Let's see

  • V=πr²h
  • π(8)²h=1280π
  • 64h=1280
  • h=1280/64
  • h=20cm
User Dylan Snel
by
2.6k points
12 votes
12 votes

Answer:

A. 20 cm

Explanation:

Volume of a cylinder


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

Given:


  • \sf V=1280 \pi \: cm^3

  • \sf r=8\:cm

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


\begin{aligned}\implies \sf 1280 \pi & =\sf \pi 8^2h\\\\\sf 1280 \pi & = \sf 64 \pi h\\\\\sf h & = \sf (1280 \pi)/(64 \pi)\\\\ \sf h & = \sf 20\:cm\end{aligned}

User Frank Osterfeld
by
3.6k points
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