Substituting the given values into the formula: \[ 1570 = \frac{1}{3} \times 3.14 \times r^2 \times 15 \] Simplifying: \[ 1570 = 15.7 \times r^2 \] Solving for \( r^2 \): \[ r^2 = \frac{1570}{15.7} = 100 \] Therefore: \[ r = \sqrt{100} = 10 \, \text{cm} \] To find the diameter: \[ \text{Diameter} = 2r = 2 \times 10 = 20 \, \text{cm} \]
The diameter of the base of the cone is **20 cm**.