Answer:
251.28 cubic feet
Step-by-step explanation:
The height of the cylinder is 9.7 ft.
The base length is 7 feet. So, the radius(R) = [tex]\frac{7}{2} = 3.5 feet[/tex]
The length of 4 feet cylinder cut out. So, the radius of the cut cylinder (r) = [tex]\frac{4}{2} = 2 feet[/tex]
We have to find the volume of solid cylinder figure without cutting part.
= Volume of the whole cylinder - Volume of the hole cut
We know that volume of a cylinder is [tex]\pi *r^2*h[/tex]
Using this formula,
= [tex]\pi *R^2*h - \pi *r^2*h[/tex]
= [tex]\pi h [R^2 - r^2][/tex]
Here π = 3.14, R = 3.5, r = 2 and h = 9.7
Plug in these values in the above, we get
= [tex]3.14*9.7 [3.5^2 - 2^2]\\= 30.458[12.25 - 4]\\= 30.458[8.25]\\= 251.2785 ft^3[/tex]
When round of to the nearest hundredths place, we get
So, the volume of solid cylinder figure not including cut out= 251.28 cubic feet
