Question:-
The volume of a cone is 8003π cubic yards. The height is 8 yards. Find the radius.
Solution:-
Height (h) of a cone is 8 yards. (Given)
We have to find the radius (r) of a cone.
Now,
ATQ ,
[tex] \frac{1}{3} [/tex]πr²h = 8003π
[tex] \frac{1}{3} [/tex]r²h = 8003 [ ' π ' is cancelled from both sides ]
[tex] \frac{1}{3} [/tex]r² × 8 = 8003
r² = [tex] \frac{8003 \: × \: 3}{8} [/tex]
r² = [tex] \frac{24,009}{8} [/tex]
r² = 3001.125
r = [tex]\sqrt{3001.125}[/tex]
r = 54.78
The radius of a cone is 54.78 yards. [Answer]
