Answer:
Part c) [tex]V=16,500\ m^3[/tex]
Part d) [tex]V=93,312\pi\ mm^3[/tex] or [tex]V=292,999.68\ mm^3[/tex]
Step-by-step explanation:
Part c) Find the volume of the inverted rectangular pyramid
The volume of the rectangular pyramid is equal to
[tex]V=\frac{1}{3}Bh[/tex]
where
B is the area of the rectangular base
h is the height of pyramid
Find the area of the base B
[tex]B=(60)(15)=900\ m^2[/tex]
[tex]h=55\ m[/tex]
substitute
[tex]V=\frac{1}{3}(900)(55)[/tex]
[tex]V=16,500\ m^3[/tex]
Part d) Find the maximum volume of tea in the tea cup
we know that
The volume of cylinder (tea cup) is equal to
[tex]V=\pi r^{2}h[/tex]
we have
[tex]r=36\ mm\\h=72\ mm[/tex]
substitute
[tex]V=\pi (36)^{2}(72)[/tex]
[tex]V=93,312\pi\ mm^3[/tex] -----> exact value
Find the approximate value
assume
[tex]\pi =3.14[/tex]
[tex]V=93,312(3.14)=292,999.68\ mm^3[/tex]
