Find the volume of a right circular cone that has a height of 17.1 in and a base with a
circumference of 16.3 in. Round your answer to the nearest tenth of a cubic inch.

Respuesta :

Answer:

Volume of the cone =[tex]120.99inch^2[/tex]

Step-by-step explanation:

Circumference of the base=16.3 inch

[tex]16.3= 2\pi r[/tex]

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

[tex]16.3=2*3.14*r\\\\16.3=6.28*r\\\\r=16.3/6.28\\\\r=2.60 inch[/tex]

Volume of the right circular cone

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

           Volume  [tex]=3.14*(2.60*2.60)*\frac{17.1}{3} \\\\=3.14*6.76*5.7\\\\=3.14*38.53\\\\=120.99inch^3[/tex]

Answer:

102.5

Step-by-step explanation:

this is the correct answer