Answer:
Option D is correct.
Diameter of mega cone is, 6.5 in
Step-by-step explanation:
Volume of cone formula is given by:
.....[1] where
V represents the Volume of a cone
D represents the diameter of the cone
h represents the height of a cone.
Use :
As per the given statement:
A mini-cone has a diameter of 2 inches and holds 12.5 of ice cream.
⇒Diameter of mini cone(D)= 2 inches
And volume of mini cone(V)= 12.5 cubic inches.
Substitute these given values in [1] to solve for height of the mini cone(h);
or
Simplify:
in.
Since, the height of the mini cone and the height of the mega cone are same;
then;
Height of the mega cone(h) = 11.93 inches.
Also, it is given that a mega-cone holds 133.1 of ice cream
⇒ Volume of mega cone(V) =
Substitute these values in [1] to solve for D:
or
Simplify:
Taking square root both sides we get;
inces.
Therefore, the diameter of the mega cone is, 6.5 in