Question

Charlie is eating an ice cream cone and wants to know the radius of the cone. On the packaging of the ice cream cone, he notices that the height of the cone is three times the length of the radius of the cone. He knows that the cone can hold V cubic centimeters of ice cream.

Which of the following functions would best model the situation above?

A.) absolute value
B.) step
C.) square root
D.) cube root

Answer 1

the correct answer is Cube root

Answer 2

D) Cube root

Explanation:

Volume of the cone (V) = 1/3 πr^2. h

Height of the cone = 3 times the length of the radius.

So h = 3r

Now plug in h = 3r in the above formula, we get

V = 1/3 πr^2 (3r)

Simplifying the above, we get

V = πr^3

Now we have to find r.

r^3 = V/π

Taking the cube root, we get

r = ∛(V/π)

Therefore, answer is D) Cube root

Hope this will helpful.

Thank you.