Question

ms. lopez draws two cylinders on the whiteboard. the first cylinder has a diameter of 6 inches and a height of 14 inches. the second cylinder has a diameter of 3 inches. if the second cylinder has the same ratio of diameter to height, what is its height? inches

Explanation:

Step1: Set up the ratio equation

Let the height of the second cylinder be $h$. The ratio of diameter to height for the first cylinder is $\frac{6}{14}$, and for the second cylinder is $\frac{3}{h}$. Since the ratios are equal, we have $\frac{6}{14}=\frac{3}{h}$.

Step2: Cross - multiply

Cross - multiplying gives us $6h = 3\times14$.

Step3: Solve for $h$

First, calculate $3\times14 = 42$. Then, $h=\frac{42}{6}=7$.

Answer:

7