Question

V. Find the volume of each shape below if the cylinder has the diameter 18 inches and height 11 inches and the right prism has the height 74 ft and the base a right triangle with the legs 60 ft and 91 ft longI need help

Answer 1

We have the following:

1. Cylinder

The volume is:

`V=\pi\cdot r^2\cdot h`

replacing

r = d/2 = 18/2 =9

h = 11

`\begin{gathered} V=3.14\cdot9^2\cdot11 \\ V=2797.74 \end{gathered}`

The volume of cylinder is 2797.74 in^3

2. Prism

`\begin{gathered} V=A_t\cdot H \\ A_t=(b\cdot h)/(2) \end{gathered}`

replacing

H = 74

b = 60

h = 91

`\begin{gathered} V=(60\cdot91)/(2)\cdot74 \\ V=202020 \end{gathered}`

The volumen of right prism is 202020 ft^3