Answer:
[tex]175\pi \textsf{ cm}^3[/tex]
Step-by-step explanation:
Circumference of a circle:
[tex]C=2\pi r[/tex] (where [tex]r[/tex] is the radius)
Given circumference = [tex]10\pi[/tex]
[tex]\implies 10\pi=2\pi r[/tex]
[tex]\implies r=5[/tex]
Volume of a cylinder:
[tex]V=\pi r^2h[/tex] (where [tex]r[/tex] is the radius and [tex]h[/tex] is the height)
[tex]\implies V=\pi \cdot5^2\cdot 7[/tex]
[tex]\implies V=175\pi \textsf{ cm}^3[/tex]
