Given:
Height of the cone is, h = 10 cm.
Volume of cone, V = 60 cubic cm.
The objective is to find the circumference of the base of the cone.
To find the circumference, the radius of base of the cone can be calculated as,
[tex]\begin{gathered} V=\frac{1}{3}\pi r^2h \\ 60=\frac{1}{3}\pi r^2\cdot10 \\ r^2=\frac{60\cdot3}{\pi\cdot10} \\ r^2=\frac{18}{\pi} \\ r=\sqrt[]{\frac{18}{\pi}} \\ r=2.4\text{ cm.} \end{gathered}[/tex]
The circumference of the base can be calculated as,
[tex]\begin{gathered} C=2\pi r \\ C=2\cdot\pi\cdot2.4 \\ C=15.1\operatorname{cm} \end{gathered}[/tex]
Thus, the circumference of the base is 15.1 cm.
Hence, option (b) is the correct answer.
