Question

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.

Answer 1

Given:

Diameter of the cone (D)= 11cm.

Height of the cone (h) = 11cm

Required:

The volume of cone.

Answer:

The radius of cone (r)=

`(D)/(2)=(11)/(2)=5.5`

The volume(V) of cone is,

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

Final Answer:

The volume of cone (cubic cm) is

`V=110.9\pi`