Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
The volume of the cone which has slant length of 5 and a diameter of 4 is 12.56 cubic units.
What is of volume of solid?
Volume of solid is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.
The more the volume of a object is obtains the more space. The volume of the cone can be given as,
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Here, (r) is the radius of the base of the cone and (h) is the height of the cylinder.
The diameter of the cone is 4 units. Thus, the radius of the cone is,
[tex]r=\dfrac{4}{2}\\r=2\rm units[/tex]
As the cone has a slant length of 5. Thus, the height of the cone is,
[tex]h=\sqrt{5^2-4^2}\\h=\sqrt{9}\\h=3 \rm units[/tex]
Here, the height is 3 units and the radius 2 units long. Thus the volume of the cone is,
[tex]V=\dfrac{1}{3}\times3.14\times (2)^2\times3\\V=12.56\rm units^3[/tex]
Hence, the volume of the cone which has slant length of 5 and a diameter of 4 is 12.56 cubic units.
Learn more about the volume of solid here;
https://brainly.com/question/1355179
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.
