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# Similar Shapes : Volume, Height, Circumference and Area

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Please complete the attached and explain steps or formulas:
12 their volumes
15 their volumes
20. Two similar cylinders have bases with areas 16 cm sq. 2 and 49 cm sq. 2 . If the larger cylinder has height 21 cm, find the height of the smaller cylinder.
22. their volumes
23. the areas of their bases
25. their volumes
26. the circumferences of their great circles
27. their surface areas
29. the diagonals of their bases
30. the areas of their bases

keywords: simialr cones, similar pyramids, simiar spheres, similar prisms,

See attached file for full problem description.

https://brainmass.com/math/geometric-shapes/similar-shapes-volume-height-circumference-area-123341

#### Solution Summary

Similar shapes, volume, height, circumference and area are investigated in the following posting. The solution is detailed and well presented.

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## surface area of the cylinder

Build a three dimensional shape and prepare a set of questions to be presented to the class for problem solving. Questions should encourage students to cover the concepts of perimeter, volume, surface area, number of vertices, faces, and edges associated with the three-dimensional shape.

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