MATH SOLVE

4 months ago

Q:
# Help plz show work please

Accepted Solution

A:

Alright, so here we have a cone and a cylinder. The cone has a height of 12. The cylinder has a height of 10.5. Both shapes, because they're on top of each other, have a diameter of 26 or a radius of 13.Equation for a cylinder: [tex]V_{cylinder} = \pi r^{2} h[/tex]Equation for a cone: [tex]V_{cone} = \frac{1}{3} \pi r^{2} h[/tex]We're going to add both of the volumes of these shapes as soon as we find them.Cylinder:[tex]V_{cylinder} = \pi r^{2} h\\= \pi (13)^{2} (10.5)\\\approx 5574.756[/tex]Cone:[tex]V_{cone} = \frac{1}{3} \pi r^{2} h\\= \frac{1}{3} \pi (13)^{2} (12)\\\approx 2123.717[/tex]Add both values: 2123.717 + 5574.756 = 7698.473 cm³.Hope this was helpful, let me know if I missed anything!