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

The two cones below are similar. What is the height of the smaller one?-example-1
User Bluedome
by
7.6k points

2 Answers

5 votes

Answer:

D.
(20)/(7)

Explanation:

When two solid same type figures are similar then their corresponding measures are in same proportion,

i.e. if a cone having radius
r_1 and height
h_1 is similar to the cone having radius
r_2 and height
h_2.

Then,


(r_1)/(r_2)=(h_1)/(h_2)

Here,


r_1=7, r_2=4, h_1 = 5, h_2 = x

By substituting the values,


(7)/(4)=(5)/(x)


7x = 20


\implies x = (20)/(7)

Hence, the height of smaller one is 20/7 units.

User AutomaticStatic
by
7.9k points
4 votes

Answer:

D. 20/7

Explanation:

Since

4/7 = x/5

Multiply the left side by x and the right side by 4 as shown below

7*x = 4*5

7x = 20

Then dividing both sides by 7 would cancel on the left

7x/7=x

X = 20/7


User Yokks
by
8.3k points

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