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.
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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]