Step-by-step explanation:
Given,
the radius(r)of the cone's base = 8 cm
the height(h)of the cone = 8 cm
then the volume of cone
= 1/3 πr²h
= (1/3×22/7×8²×8 (substituting the value of r and h )
=(1/3×22/7×64×8)cm³
=(12544/21)cm³
=597.333cm³(ans)
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The volume of the cone is 536.38 cubic cm if the radius of the cone is 8 cm and the height of the cone is 8 cm.
The volume of a cone is the amount of space possessed by a cone in a three-dimensional plane. A cone contains a circular base, which suggests the base is made of a radius and diameter.
The volume can be defined as a three-dimensional space enclosed by an object or thing.
The formula for the volume of the cone,
[tex]\rm V=\dfrac{1}{3} \pi r^2h[/tex]
r = radius of the circular base
h= perpendicular height of the cone
Here, r = 8 cm
h = 8 cm
So the volume of the given cone will be,
[tex]\rm V=\dfrac{1}{3} \pi r^2h\\\\\\=\dfrac{1}{3}\times\dfrac{22}{7}\times8^2\times8\\\\\\[/tex]
V = 536.38 cubic m
Volume =536.38 cubic cm
Thus, the volume of the cone is 536.38 cubic cm if the radius of the cone is 8 cm and the height of the cone is 8 cm.
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