Answer :
The volume of a cone is given by the formula [tex]V=\frac{1}{3} \pi r^2 h[/tex], where r is the radius and h is the height. The horizontal dotted line from the center of the base circle to the outside edge would be the radius, so that would be 12 cm. The vertical dotted line from the center of the base to the point of the cone would be the height, so that would be 8 cm. We substitute these values into our formula:
[tex]V=\frac{1}{3} \pi (12^2)(8)[/tex]
Substituting 3.14 for pi we have:
[tex]V=\frac{1}{3}(3.14)(12^2)(8) = 1205.76 \text{cm}^3[/tex]
[tex]V=\frac{1}{3} \pi (12^2)(8)[/tex]
Substituting 3.14 for pi we have:
[tex]V=\frac{1}{3}(3.14)(12^2)(8) = 1205.76 \text{cm}^3[/tex]
The required approximate value volume of the cone is v = 1206 `cm³.
Given that the Height of the cone = 8 m
The Radius of the cone = 12 m
We have to find,The approximate volume of the cone .
What is the volume of a cone?
The volume of a cone is equal to one-third of the volume of a cylinder having the same base radius and height.
Where V is the volume, r is the radius and h is the height.
The volume of the cone
[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]
Where, π = 3.14
[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3\\\\ V = \dfrac{1}{3} \pi (8)^3 (12) \: \rm unit^3[/tex]
V = 1206 cm³
Hence, The required approximate value volume of the cone is v = 1206 `cm³
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