Question

Find the volume of the cone with the given dimensions: d = 26 cm, h = 10 cm

Answer 1

if it has a diameter of 26 cm, then its radius is half that, or 13.

`\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`

Answer 2

¹⁶⁹⁰/₃π cm³ ≈ 1769.76 cm³

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