Question

The volume of the ice cream cone in the diagram is 12 cubic centimeters. 9 centimeters is the height of the ice cream cone, what is the diameter of the opening of the cone?​

Answer 1

Answer:

2.2568m

Step-by-step explanation:

volume= 12 π cm³

or, 1/3 πr²h = 12π cm³

or, πr² × 9 = 12π ×3

or, r²= 36π/9π

or, r²= 4

or, r= 2

d = 2r = 2× 2= 4 cm

Answer 2

The diameter of the opening of the cone is equal to 4 centimeters.

Given the following data:

• Volume of cone = 12π cubic centimeters.

• Height of cone = 9 centimeters.

To determine the diameter of the opening of the cone:

How to calculate the diameter.

Mathematically, the volume of a cone is given by this formula:

$V = \frac{1}{3} \pi r^2h$

Where:

• h is the height.

• r is the radius.

Substituting the given parameters into the formula, we have;

$12 \pi = \frac{1}{3} \pi r^2 \times 9\\\\12 =3r^2\\\\r^2=4\\\\r=\sqrt{4}$

r = 2 centimeters.

For the diameter:

$Diameter = 2r\\\\Diameter = 2 \times 2$

Diameter = 4 centimeters.

Read more on radius here: brainly.com/question/21367171