Answer:
Volume, [tex]V=96.79\ \text{feet}^3[/tex]
Step-by-step explanation:
An artist creates a cone shaped sculpture for an art exhibit.
Height of sculpture is 8 feets
The circumference of base of the cone is 21.352 feet.
The base of a con is circular shaped. So,
[tex]2\pi r= 21.352[/tex]
r is radius of cone
[tex]r= \dfrac{21.352}{2\times 3.14} \\\\r=3.4\ ft[/tex]
The volume of cone shaped sculpture is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h\\\\V=\dfrac{1}{3}\times 3.14\times (3.4)^2 \times 8\\\\V=96.79\ \text{feet}^3[/tex]
So, the volume of the sculpture is [tex]96.79\ \text{feet}^3[/tex].
