Answer and Step-by-step explanation:
The volume of a cone is as follows:
[tex]V = \pi r^{2} \frac{h}{3}[/tex]
Where:
V = Volume
[tex]\pi[/tex] = pi, aka 3.14
r = radius (Which is 15 in.)
h = height (Which is 7 in.)
Now, all we have to do is plug in the values into the equation and solve for V (Volume).
[tex]V = (3.14)(15)^{2} (\frac{7}{3} )\\\\\\\\V = 3.14(225)(\frac{7}{3} )\\\\\\\\V = 706.5 (\frac{7}{3} )\\\\\\\\V = \frac{706.5 * 7}{3} )\\\\\\\\V = \frac{4945.5}{3} \\\\\\\\V = 1648.5[/tex]
The volume of the cone is 1648.5 [tex]in.^3[/tex]
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