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]
