a) Volume of the cone = 12π (option B)
b) The length of the segment drawn from the apex to the edge of the circular base is the height of the cone is 4 units (option B)
Explanation:
a) diameter = 6 units
diameter = 2(radius)
radius = diameter/2 = 6/2
radius = 3
height = 4 units
Volume of a cone is given as:
[tex]V\text{ = }\frac{1}{3}\pi r^2h[/tex][tex]\begin{gathered} \text{substitute the values} \\ V\text{ = }\frac{1}{3}\times\pi\times3^2\times4 \\ Volume\text{ of the cone = 12}\pi\text{ cubic units (option B)} \end{gathered}[/tex]
b) The length of the segment drawn from the apex to the edge of the circular base is the height of the cone.
Height of the cone is 4
The length of the segment drawn from the apex to the edge of the circular base is the height of the cone is 4 units (option B)
