Volume of the oblique cone: 432π cm³
Step-by-step explanation:
The volume of a cone is given by:
[tex]V=\frac{1}{3}bh[/tex]
where
b is the area of the base
h is the height
The area of the base can be written as
[tex]b=\pi r^2[/tex]
where r is the radius of the base. Substituting into the 1st equation,
[tex]V=\frac{1}{3}\pi r^2 h[/tex]
For the cone in this problem, we have:
[tex]r = 9cm\\h = 16 cm[/tex]
Substituting into the formula, we find the volume:
[tex]V=\frac{1}{3}\pi(9^2)(16)=\frac{1}{3}\pi (1296)=432\pi cm^3[/tex]
Learn more about volume of figures:
brainly.com/question/12497249
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