LeionnaL94267 LeionnaL94267
  • 29-10-2022
  • Mathematics
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Find the volume of a cylinder is 575cm^3. The radius of the base of the cylinder is 5cm. What is the height of the cylinder?

Find the volume of a cylinder is 575cm3 The radius of the base of the cylinder is 5cm What is the height of the cylinder class=

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JaxtynF417607 JaxtynF417607
  • 29-10-2022

Given:

The volume of cylinder is 575 cm cube/ The radius of the base of the cylinder is 5 cm.

Required:

What is the height of the cylinder?

Explanation:

Volume of cylinder

[tex]\begin{gathered} V=\pi r^2h \\ \text{ We have V=575}\pi \\ 575\pi=\pi(5)^2h \\ h=\frac{575}{25} \\ h=23 \end{gathered}[/tex]

Answer:

Height of the cylinder is 23 cm.

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