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shutvik [7]
3 years ago
12

The two cones below are similar. What is the height of the smaller cone?

Mathematics
2 answers:
Ugo [173]3 years ago
6 0
Given that the two cone are similar, then
3/7 = x/5
7x = 15
x = 15/7
Eddi Din [679]3 years ago
5 0

Answer:  The correct option is (D) \dfrac{15}{7}.

Step-by-step explanation:  Given that the two cones in the figure are similar.

We are to find the height 'x' of the smaller cone.

The height and radius of the bigger cone are 5 units and 7 units respectively.

The radius of the smaller cone is 3 units.

Since the two cones are similar, so their corresponding heights and radius will be proportional.

Therefore, we must have

\dfrac{5}{x}=\dfrac{7}{3}\\\\\\\Rightarrow 5\times 3=7x\\\\\\\Rightarrow7x=15\\\\\\\Rightarrow x=\dfrac{15}{7}.

Thus, the height of the smaller cone is \dfrac{15}{7}~\textup{units}.

Option (D) is correct.

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