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: Find the ratio for the first cylinder

The ratio of diameter to height for the first cylinder is $\frac{\text{diameter}}{\text{height}}=\frac{6}{14}=\frac{3}{7}$.

Step2: Set up the ratio for the second cylinder

Let the height of the second cylinder be $h$. The ratio of its diameter to height is $\frac{3}{h}$. Since the ratios are equal, we have $\frac{3}{h}=\frac{3}{7}$. Cross - multiplying gives $3\times7 = 3\times h$. Then, dividing both sides by 3, we get $h = 7$.

Answer:

7