Volume Of A Cone

$\fcolorbox{#00BFFF}{white}{$V=\frac{1}{3}Bh$}$\fcolorbox{#00BFFF}{white}{$\V=frac{1}{3}Bh$}

$\mathrm{<span\; style="font-family:\; Montserrat;">B</span>}<span\; style="font-family:\; Montserrat;">=</span>\mathrm{<span\; style="font-family:\; Montserrat;">\pi </span>}{\mathrm{<span\; style="font-family:\; Montserrat;">r</span>}}^{\mathrm{<span\; style="font-family:\; Montserrat;">2</span>}}$B = \pi r^

$B = \pi r^2$B = \pi r^2

Definition:

Cone = A 3D figure with one circular base.  The curved surface connects the base with the vertex.

h = height

r  = radius

B  = area of the base (the circle in this case)

Example:

Find the volume of a cone with

h = 10

r = 3

V=31​B h

V=31​ π $$9\cdot10

Steps:

V=31​ π $$9\cdot10

V=31​ π $\mathrm{<span\; style="font-family:\; Montserrat;">9</span>}<span\; style="font-family:\; Montserrat;">\cdot </span>\mathrm{<span\; style="font-family:\; Montserrat;">10</span>}$9\cdot10

V=31​ π $9\cdot10$90

V= $\frac{\mathrm{<span\; style="font-family:\; Montserrat;">90</span>}}{\mathrm{<span\; style="font-family:\; Montserrat;">3</span>}}\mathrm{<span\; style="font-family:\; Montserrat;">\pi </span>}$\frac{90}{3}\pi\frac{90}{3}\pi

$\colorbox{aqua}{$V=30\pi$}$\colorbox{aqua}{$\V=30pi$}    OR   V≈94.25

Units cubed.

$\mathrm{<span\; style="font-family:\; Montserrat;">V</span>}<span\; style="font-family:\; Montserrat;">\approx </span>\mathrm{<span\; style="font-family:\; Montserrat;">94.245</span>}$V\approx 94.245

By: edbee team

Sept. 22, 2020