The cylinder shown has a volume of 90 cubic units. The cone and the cylinder have the same height and the same base. The volume of the cone will be 30 cubic units.
What is a cone?
It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.
Given:
The volume of the cylinder= 90 cubic units
The volume of the cylinder=πr²h
90 cubic units=πr²h
The volume of a cone is;
[tex]\rm V= \frac{1}{3} \pi r^2h \\\\ V=\frac{1}{3} \times 90 \ cubic units \\\\ V=30 \ cubic \ units[/tex]
Hence, the volume of the cone will be 30 cubic units.
To learn more about the cone, refer to the link;
https://brainly.com/question/16394302
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