Respuesta :
Can you help me with:
1. Find the height of a cone with a diameter of 12m whose volume is 264 m^3. Use 3.14 for π and round to your nearest meter.
The volume of the cone is 186.80 cubic inches.
What is the volume of a cone?
The volume of the cone is given by;
[tex]\rm Volume \ of \ con e= \dfrac{1}{3}\pi r^2h[/tex]
Where r is the radius and h is the height of the cone.
The volume of a right circular cone has a height of 5.9 in and a base with a diameter of 11.2 in.
The radius of the cone is;
[tex]\rm Radius =\dfrac{Diameter}{2}\\\\ Radius =\dfrac{11.2}{2}\\\\ Radius =5.6[/tex]
The volume of a right circular cone is;
[tex]\rm Volume \ of \ con e= \dfrac{1}{3}\pi r^2h\\\\\rm Volume \ of \ con e= \dfrac{1}{3} \times 3.14 \times (5.5) ^2\times 5.9\\\\\rm Volume \ of \ con e= 186.80\\\\[/tex]
Hence, the volume of the cone is 186.80 cubic inch.
Learn more about volume of cone here;
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