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Harman [31]
3 years ago
11

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

Mathematics
2 answers:
egoroff_w [7]3 years ago
5 0

Answer:

D. \frac{20}{7}

Step-by-step 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,

\frac{r_1}{r_2}=\frac{h_1}{h_2}

Here,

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

By substituting the values,

\frac{7}{4}=\frac{5}{x}

7x = 20

\implies x = \frac{20}{7}

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

Semmy [17]3 years ago
4 0

Answer:

D. 20/7

Step-by-step 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


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