Question

Select the correct answer. Figure 1 is similar to figure 2. What is the height of figure 1? The picture shows two cones, figure 1 and figure 2. The radius of a figure 1 cone is x plus 1, and the height is 4x. The radius of a figure 2 cone is x, and the height is 2x A. 8 units B. 1 unit C. 2 units D. 4 units

Answer 1

4

Explanation:

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Answer 2

• D. 4 units

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If two figures are similar, the ratio of their corresponding sides is same.

Set up an equation and solve for x:

• x / (x + 1) = 2x / (4x)
• x / (x + 1) = 1/2
• 2x = x + 1
• x = 1

The height of figure 1 is 4x:

• 4x = 4*1 = 4 units