Question

Which container has the greater volume?
Neither is greater; they have the same volume.
The cylinder has the greater volume.
The cone has the greater volume.

Answer 1

Step-by-step explanation:

Lets compare the volumes of a cone with that of a cylinder by formulae and than then come to the conclusive evidences …

Volume of a cone …. 1/3.pi r^2.height.

Volume of a cylinder……. pi.r^2.height.

Its obviously evident from the geometric formulae of both the figures that the volume of a cone is one third of a cylinder. And the volume of a cylinder is thrice that of a cone.

Geometrically the structural figures of a cone, a sphere, a cylinder Having same radii and heights occupy space in the following patterns…

Sphere is 2/3 of cylinder … And

Cone is 1/3 of a cylinder. So the ratioes of their volumes are according to the space iccupied by them.

Thanks.

@By Samu___❤___