Question

question 1 of 10
the two cones below are similar. what is the height of the smaller cone?
a. $\frac{35}{3}$
b. $\frac{21}{5}$
c. 5
d. $\frac{15}{7}$

Explanation:

Step1: Set up proportion

For similar cones, the ratio of their corresponding dimensions is equal. So we have $\frac{5}{x}=\frac{7}{3}$.

Step2: Cross - multiply

Cross - multiplying gives us $7x = 5\times3$, which simplifies to $7x=15$.

Step3: Solve for x

Dividing both sides by 7, we get $x=\frac{15}{7}$.

Answer:

D. $\frac{15}{7}$