Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
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
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.
