Find the volume of a cone with a base diameter of and a height of .Write the exact volume in terms of , and be sure to include the correct unit in your answer.

Find the volume of a cone with a base diameter of and a height of Write the exact volume in terms of and be sure to include the correct unit in your answer class=

Respuesta :

Given:

Diameter of the cone (D)= 11cm.

Height of the cone (h) = 11cm

Required:

The volume of cone.

Answer:

The radius of cone (r)=

[tex]\frac{D}{2}=\frac{11}{2}=5.5[/tex]

The volume(V) of cone is,

[tex]\begin{gathered} V=\frac{1}{3}\pi r^2h \\ V=\frac{1}{3}\pi(5.5)^211 \\ V=\frac{1}{3}\pi(30.25)11 \\ V=110.9\pi \end{gathered}[/tex]

Final Answer:

The volume of cone (cubic cm) is

[tex]V=110.9\pi[/tex]

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