Question

find the missing side length in these similar solids. image of two similar cones, larger cone has height 15 m, smaller cone has height 6 m and radius 4 m, larger cones radius is? m

Explanation:

Step1: Set up similarity proportion

Since the cones are similar, their corresponding linear measurements are proportional. Let $x$ be the radius of the larger cone.
$$\frac{x}{4} = \frac{15}{6}$$

Step2: Solve for $x$

Multiply both sides by 4 to isolate $x$.
$$x = 4 \times \frac{15}{6}$$
$$x = \frac{60}{6} = 10$$

Answer:

10 m