The radius is 10 ft.
Step-by-step explanation:
Given,
The volume (V) of the cone = 733 ft³
Height (h) = 7 ft
To find the radius (r) of the cone.
Formula
The volume of the cone is = [tex]\frac{1}{3}[/tex]πr²h
According to the problem,
[tex]\frac{1}{3}[/tex]πr²h = 733
or, [tex]\frac{1}{3}[/tex]×[tex]\frac{22}{7}[/tex]×r²×7 = 733
or, r² = [tex]\frac{733X7X3}{22X7}[/tex]
or, r² = 99.9 = 100 (approx)
or, r = [tex]\sqrt{100}[/tex] = 10
Hence,
The radius is 10 ft.
