Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
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
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:
[tex]V = \frac{1}{3} \pi r^2h[/tex]
Where:
- h is the height.
- r is the radius.
Substituting the given parameters into the formula, we have;
[tex]12 \pi = \frac{1}{3} \pi r^2 \times 9\\\\12 =3r^2\\\\r^2=4\\\\r=\sqrt{4}[/tex]
r = 2 centimeters.
For the diameter:
[tex]Diameter = 2r\\\\Diameter = 2 \times 2[/tex]
Diameter = 4 centimeters.
Read more on radius here: brainly.com/question/21367171
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.