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

your welcome haha, this is the best place to find answers

good luck on your studies! : )

david edward.