What is the volume, in cubic millimeters, of the composite figure? (Round to the nearest hundredth. Use 3.14 for pi)

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

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. 753.6 in.3 904.3 in.3 1,582.6 in.3

Step-by-step explanation:

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm