Question

What is the volume of the composite figure? Use 3.14 for π and round the answer to the nearest tenth of a cubic unit.

Answer 1

Answer:c.1,582.6 in^3

Step-by-step explanation:

Answer 2

To find volume of a cylinder, you must find the area of the base and multiply it by the height of the object.

V=Bh where B=area of the base. Since the base is a circle, we must find area of the circle. A=pi(r^2)
A=3.14(6^2) Since it gave us the diameter, we take half for radius. Solve A=3.14(36)
A= 113.04 square cm

Now to find volume.
V=113.04•11
V=1243.44 cubic cm

Now find volume of the cone on top.

V=1/3Bh again with B= area of the base (pi)(r^2)
Since the two objects share a base, we can use the area of the cylinder as above.
V=1/3(113.04)9
We have to do a little simple math to determine the height of just the cone. Total height is 20-11 height of the cylinder. The difference is 9.
V=1/3(113.04)9 multiply
V=339.12 cubic cm

Now add the two volumes together to find total volume.
Total V=1243.44+339.12
V=1582.56 cubic cm