Answer:
471.24
Step-by-step explanation:
Alright, so we have 2 cones. One cone, let's call this cone a, has a height of 7, and cone b has a height of 11. Both cones have a base radius of 5. This is all given info.
Fair enough. We can go from here. Let's plug the values into the equations for the cone and then add cones A and B together.
The equation/formula for volume of a cone is:
[tex]V_{cone} =\frac{1}{3} \pi r^{2} h[/tex]
Cone A:
[tex]=\frac{1}{3} \pi r^{2} h\\\\=\frac{1}{3} \pi (5)^{2} (7)\\\\=\frac{175\pi }{3} \\=183.26[/tex]
Cone B:
[tex]=\frac{1}{3} \pi r^{2} h\\\\=\frac{1}{3} \pi (5)^{2} (11)\\\\=\frac{275\pi }{3} \\=287.98[/tex]
Now we add:
287.98 + 183.26 = 471.24
Hope this helps, let me know if I missed anything!
