Solve the problem.
-A right circular cone used for packaging candy needs to hold 5 cubic inches of candy and be 3 inches tall. Let represent the radius of the circular base where V represents the volume of the cone and h represents the height of the cone. Approximate the radius of this package.
A) r = 2.19 in.
B) r = 0.56 in.
C) r = 1.26 in.
D) r = 2.24 in.

Question

Solve the problem.
-A right circular cone used for packaging candy needs to hold 5 cubic inches of candy and be 3 inches tall. Let  represent the radius of the circular base where V represents the volume of the cone and h represents the height of the cone. Approximate the radius of this package.
A) r = 2.19 in. 
B) r = 0.56 in. 
C) r = 1.26 in. 
D) r = 2.24 in.

Quizplus · Accepted Answer

The formula for the volume of a cone is V = (1/3)πr^2h
Substituting the given values, we get:
5 = (1/3)πr^2(3)
r^2 = 5/(π)(1)
r = √(5/π)
Using a calculator, this approximates to 1.26 inches.
Therefore, the answer is C.

Solve the Problem. -A Right Circular Cone Used for Packaging Candy Needs to Candy