Question

Please solve these equations much appreciated

Answer 1

Part c)
`V=16,500\ m^3`

Part d)
`V=93,312\pi\ mm^3` or
`V=292,999.68\ mm^3`

Explanation:

Part c) Find the volume of the inverted rectangular pyramid

The volume of the rectangular pyramid is equal to

`V=(1)/(3)Bh`

where

B is the area of the rectangular base

h is the height of pyramid

Find the area of the base B

`B=(60)(15)=900\ m^2`

`h=55\ m`

substitute

`V=(1)/(3)(900)(55)`

`V=16,500\ m^3`

Part d) Find the maximum volume of tea in the tea cup

we know that

The volume of cylinder (tea cup) is equal to

`V=\pi r^(2)h`

we have

`r=36\ mm\\h=72\ mm`

substitute

`V=\pi (36)^(2)(72)`

`V=93,312\pi\ mm^3` -----> exact value

Find the approximate value

assume

`\pi =3.14`

`V=93,312(3.14)=292,999.68\ mm^3`