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Question 6 options:

A sphere with a volume of 1200 cm³ is dilated by a factor of 3/5.

The volume of the dilated image is ___ cubic centimeters.

Express your answer to the nearest whole unit.

Given:

Volume of sphere = 1200 cm³

The sphere is dilated by a factor of .

To find:

The volume of the dilated image.

Solution:

If two figures are similar then their volumes are proportional to cube of their corresponding sides.

We know that all sphere are similar to each other.

The sphere is dilated by a factor of . It means the ratio of new figure to original figure is

Let be the volume of original figure and be the volume of dilated figure.

Where, k is the scale factor.

Multiply both sides by 1200.

Therefore, the volume of the dilated image is 259 cubic centimetres.

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

step-by-step explanation: