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Kryger [21]
3 years ago
13

Help plz show work please

Mathematics
1 answer:
borishaifa [10]3 years ago
5 0

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 <em>radius</em> 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!

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