Explanation
The formula to find the volume of a cone is:
[tex]\begin{gathered} V=\frac{1}{3}\pi r^2h \\ \text{ Where} \\ r\text{ is the radius of the base} \\ h\text{ is the height} \end{gathered}[/tex]
So, we have:
[tex]\begin{gathered} r=5cm \\ h=21cm \end{gathered}[/tex][tex]\begin{gathered} V=\frac{1}{3}\pi r^{2}h \\ V=\frac{1}{3}\pi(5cm)^{2}(21cm) \\ V=\frac{1}{3}\pi(525cm^3) \\ V=\frac{525\pi}{3}cm^3 \\ V=175\pi cm^3 \end{gathered}[/tex]
Answer
C 175π
