38.4k views
9 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

2 Answers

5 votes

Let's see

  • V=πr²h
  • π(8)²h=1280π
  • 64h=1280
  • h=1280/64
  • h=20cm
10 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 Jaredbaszler
by
4.3k points