The volume of the cone is 37.9 cm^3.
The volume V of a cone whose circular base has a radius r and a height h is given as
V = 1/3 πr²h
where π = 22/7
h=9.6cm
radius=12.2cm
Given the circumference of the circular base as 12.2cm. we must find the radius before we can compute the volume. The relationship between the radius and the circumference is such that the circumference C
Circumference of the circle= 2πr
r = C/2π
=12.2/2π
since the height of the cone is 9.6 cm, the volume of V.
[tex]V=\frac{1}{3}\pi r^2h[/tex]
where r is the radius
h= height
V= volume of the cone
[tex]= 1/3 * \pi * (12.2/2\pi )^2 *9.6[/tex]
[tex]=37.90cm^3[/tex]
Therefore the volume of the cone is 37.90 cm^3.
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