Question

The volume of a cone is 8003π cubic yards. The height is 8 yards. Find the radius

Answer 1

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 ,

$\frac{1}{3}$πr²h = 8003π

$\frac{1}{3}$r²h = 8003 [ ' π ' is cancelled from both sides ]

$\frac{1}{3}$r² × 8 = 8003

r² = $\frac{8003 \: × \: 3}{8}$

r² = $\frac{24,009}{8}$

r² = 3001.125

r = $\sqrt{3001.125}$

r = 54.78

The radius of a cone is 54.78 yards. [Answer]