Answer:
35 cm³
Step-by-step explanation:
The formula of a volume of a cylinder:
[tex]V_1=\pi r^2H[/tex]
r - radius
H - height
The formula of a volume of a cone:
[tex]V_2=\dfrac{1}{3}\pi r^2H[/tex]
If the cylinder and the cone have the same base (radius) and the same height, then the volume of the cone is three times smaller than the volume of the cylinder.
[tex]V_2=\dfrac{1}{3}\underbrace{\pi r^2H}_{V_1}[/tex]
Therefore:
[tex]V_2=\dfrac{1}{3}V_1\toV_2=\dfrac{1}{3}\cdot105\ cm^3=35\ cm^3[/tex]
