Question

Please help!!

each small square represents 1 square centimeter.

The solid formed by rotating the above rectangle around the horizontal axis shown is best described as a_________.
-cylinder with radius 6cm and height 3cm.
-cone with radius 3cm and height 6cm.
-rectangular prism with 3cm x 6cm base and height of 3cm.
-cylinder with radius 3cm and height 6cm.

The volume of this solid is_______.

108 cubic centimeters
54 cubic centimeters
18 cubic centimeters
​

Answer 1

The solid formed by rotating the above rectangle around the horizontal axis shown is best described as a cylinder with radius 3cm and height 6cm. The volume of this solid is 108 cubic centimeters, which can be calculated as follows: V = πr2h, where r is the radius and h is the height. In this case, r = 3cm and h = 6cm, so the volume is π x (3 cm)2 x 6 cm = 108 cubic centimeters.

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