Can yall get me the volume calculations for the 3 shapes? Thank you! | Geometry

Figure 1

Since the diameter is 8, this cuts in half to the radius of r = 4. Plug the given values into the cone volume formula below

V = (1/3)*pi*r^2*h

V = (1/3)*pi*(4)^2*4

V = (64/3)pi   exact volume in terms of pi

V = (64/3)*3.14

V = 66.98667 approximate volume when using pi = 3.14

Figure 2

V = volume of cylinder

V = pi*r^2*h

V = pi*4^2*4

V = 64pi exact volume

V = 64*3.14

V = 200.96 approximate volume when using pi = 3.14

Figure 3

b and h* are dimensions along the bottom face, aka floor

h is the height or vertical dimension of the 3D room

V = volume of rectangular prism = volume of 3D room

V = length*width*height

V = (b)(h*)(h)

V = (32)(12)(4)

V = 1536 is the exact volume

There is no approximate volume for this figure because the result above is an integer.

Combining the figures

Adding up the volumes for figures 1 through 3 gets us

(64/3)pi + 64pi + 1536 = (256/3)pi + 1536

The exact total volume in terms of pi is (256/3)pi + 1536

If we used pi = 3.14, then it leads to

(256/3)pi + 1536 = (256/3)*3.14 + 1536 = 1803.94667

The approximate total volume of all three figures combined is roughly 1803.94667 cubic units

the answer is 5636.7

the answer is a

step-by-step explanation: