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

User LiquaFoo
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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 ,


(1)/(3)πr²h = 8003π


(1)/(3)r²h = 8003 [ ' π ' is cancelled from both sides ]


(1)/(3)r² × 8 = 8003

r² =
(8003 \: × \: 3)/(8)

r² =
(24,009)/(8)

r² = 3001.125

r =
√(3001.125)

r = 54.78

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

User Naffi
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