Question 1198557
Certainly, let's find the height of the equivalent cylinder.

**1. Find the Radius of the Midsection**

* Since the cutting plane is equidistant from the bases, it divides the frustum's height equally.
* Height of each portion = 25 cm / 2 = 12.5 cm

* We can use similar triangles to find the radius (r) of the midsection:

   * (r - 2) / 12.5 = (8 - 2) / 25 
   * (r - 2) / 12.5 = 6 / 25
   * r - 2 = (6 * 12.5) / 25
   * r - 2 = 3
   * r = 5 cm

**2. Find the Area of the Midsection**

* Area of the midsection (A) = π * r² 
* A = π * (5 cm)² 
* A = 25π cm²

**3. Find the Volume of the Frustum**

* Volume of Frustum (V) = (1/3) * π * h * (R² + r² + Rr) 
    * Where:
        * h = height of frustum (25 cm)
        * R = radius of larger base (8 cm)
        * r = radius of smaller base (2 cm)

* V = (1/3) * π * 25 * (8² + 2² + 8 * 2)
* V = (1/3) * π * 25 * (64 + 4 + 16)
* V = (1/3) * π * 25 * 84
* V = 700π cm³

**4. Find the Volume of the Equivalent Cylinder**

* Volume of Cylinder (V) = Area of Base * Height 
* 700π cm³ = 25π cm² * Height 
* Height = 700π cm³ / 25π cm² 
* Height = 28 cm

**Therefore, the height of the equivalent right circular cylinder is 28 cm.**