Answer:
Area of the base is 19.5 unit square.
Step-by-step explanation:
The volume of the cone is given as = 52 cubic inches
Height or h = 8 inches
Volume of the cone is given as : [tex]\pi r^{2} \frac{h}{3}[/tex]
[tex]52=3.14\times r^{2} \times\frac{8}{3}[/tex]
[tex]52= r^{2} \times 8.37[/tex]
[tex]r^{2} =6.212[/tex]
r = 2.492 inches
Now, area of the base is given as [tex]\pi r^{2}[/tex] because it is a circle.
Area = [tex]3.14\times2.492\times2.492[/tex]
= 19.499 ≈ 19.5 unit square.
