Respuesta :
Answer:
¹⁶⁹⁰/₃π cm³ ≈ 1769.76 cm³
Step-by-step explanation:
Equation of a volume of a cone: V = ¹/₃ * πr²h
1. Find r (radius): r = d/2 = 26/2 = 13 cm
2. Plug in everything into equation: V = ¹/₃ * π(13)² * 10
3. Square: V = ¹/₃ * π * 169 * 10
4. Multiply: V = ¹⁶⁹⁰/₃π cm³ ≈ 1769.76 cm³
if it has a diameter of 26 cm, then its radius is half that, or 13.
[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=13\\ h=10 \end{cases}\implies V=\cfrac{\pi (13)^2(10)}{3} \\\\\\ V=\cfrac{1690\pi }{3}\implies V\approx 1769.76[/tex]
