Question

A company is making two types of covered aluminum containers. One is a cylinder with a height of 114feet and a diameter of 1 foot. The other is a rectangular prism with a length of 34foot, a width of 34foot, and a height of 1 foot. How much greater is a cylinder's capacity?

Answer 1

`V_d=976.9ft`

Explanation:

From the question we are told that:

Height of cylinder h_1=114 feet

Diameter d=1

Length of triangular prism
`l_2=34ft`

Width of triangular prism
`w_2=34ft`

Height of triangular prism
`h_2=1 ft`

Generally the equation for Volume of the cylinder is mathematically given by

`V_c=\pir^2h`

Where

`r=d/2\\r=0.5`

Therefore

`V_c-=\pi*0.5*114`

`V_c=57\pi`

`V_c=179.1ft`

Generally the equation for Volume of a Rectangular prism is mathematically given by

`V_r=whl`

`V_r=34*34*1`

`V_r=1156feet`

Generally the equation for Volume difference is mathematically given by

`V_d=V_r-V_c`

`V_d=1156-179.1`

`V_d=976.9ft`