Question

Help plz show work please

Answer 1

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: $V_{cylinder} = \pi r^{2} h$

Equation for a cone: $V_{cone} = \frac{1}{3} \pi r^{2} h$

We're going to add both of the volumes of these shapes as soon as we find them.

Cylinder:

$V_{cylinder} = \pi r^{2} h\\= \pi (13)^{2} (10.5)\\\approx 5574.756$

Cone:

$V_{cone} = \frac{1}{3} \pi r^{2} h\\= \frac{1}{3} \pi (13)^{2} (12)\\\approx 2123.717$

Add both values: 2123.717 + 5574.756 = 7698.473 cm³.

Hope this was helpful, let me know if I missed anything!