find the volume of a right circular cone that has a height of 2.1m and a base with a diameter of 13.7m. round your answer to the nearest tenth of a cubic meter

Respuesta :

Answer:

Volume of the cone = 103.14 meter cube

Step-by-step explanation:

Height of the cone= 2.1 m

Diameter= 13.7 m

Radius= 13.7/2= 6.85 m

Volume of a cone :

            [tex]=\pi r^2\frac{h}{3}[/tex]

As, [tex]\pi =\frac{22}{7}=3.14[/tex]

Putting the values in the formula:

Volume is :

            [tex]=3.14*(6.85*6.85)*\frac{2.1}{3} \\\\=3.14*(6.85*6.85)*0.7\\\\=3.14*46.92*0.7\\\\=3.14*32.85\\\\=103.14m^3[/tex]

The volume of the cone is 103.14 meter cube

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