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4 votes
Volume = 4,410 yd
30 yd
radius =

User Heximal
by
6.4k points

1 Answer

5 votes

Answer:

Radius = 11.85yd

Explanation:

Volume of a Cone formula: V = πr²(h/3)

We know that;

V = Volume

r = radius

π = pi (this is a sign located on your calculator)

h = height

We are given that;

V = 4,410

r = unknown

h = 30

Let's substitute the values in:

=> V = πr²(h/3)

=> 4,410 = πr²(30/3)

=> 4,410 = πr²(10)

=> 4,410 / 10 = πr²

=> 441 = πr²

=> 441 / π = r²

=> 140.37 = r²

=>
√(140.37) = r

=> 11.85 = r

Therefore, the radius of the cone = 11.85yd

Hope this helps!

User Jamie Hill
by
6.1k points