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Tell whether the pair of right solids are similar.

Tell whether the pair of right solids are similar.-example-1

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1 vote
yea they are similar
answered
User Ryan Salmons
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5 votes

Answer:

They are similar

Explanation:

A pair of cones are similar if they have the same shape, but different sizes. This means that the corresponding angles of the two cones are equal, and the corresponding sides are in proportion.

Some of the properties of a pair of similar cones are:

  • The ratio of the heights of the two cones is equal to the ratio of their radii.
  • The ratio of the volumes of the two cones is equal to the cube of the ratio of their heights.
  • The ratio of the surface areas of the two cones is equal to the square of the ratio of their heights.

For this question:

ratio of height = 27:18 =9:6: 3:2

ratio of radius = (24/2): 8=12:8 : 3:2

Since the ratio of the heights of the two cones is equal to the ratio of their radii, They are similar.

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User Dmitrybelyakov
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