Answer:
The volume of the oblique cone( to the nearest tenth) is, 142.4 cubic units
Explanation:
A cone is a 3-dimensional object with a circular base and a tapered side that meets at a point above the circular base called apex of the cone.
An oblique cone is a special type of cone in which the apex is not located directly above the center of the circular base so it looks like a slanted cone.
To find the volume of oblique(V) cone with height (h), i.e the distance from thew apex of the cone to the base of the cone , and the base radius (r), then we use the formula:
[tex]V=\frac{1}{3}\pi r^2h[/tex]
From the figure; we have the base radius r = 4 unit and height (h) = 8.5 units.
then,
Volume of the oblique cone[tex]V=\frac{1}{3}\pi r^2h[/tex] [use [tex]\pi =3.14[/tex] ]
∴[tex]V=\frac{1}{3} \cdot 3.14\cdot (4)^2\cdot 8.5[/tex] cubic units
On simplify:
[tex]V=142.346667[/tex] cubic units.
therefore, the volume of oblique cone(nearest tenth) is, 142.4 cubic units