Answer:
The volume of the prism is equal to the volume of the cylinder
Step-by-step explanation:
For each solid figure, the volume formula is ...
V = Bh
where B is the cross-sectional area and h is the height. The problem statement tells us B and h have the same values for both figures. Hence their volumes are the same.
Answer:
I hope I'll help you with this but I am not sure of it all...
The area of the shaded region is 46,77
Step-by-step explanation:
To determine the area of the shaded hexagon, we must first calculate te area of the whole shaded hexagon and minus that by the white little hexagon.
The formula to calculate the area of a hexagon is (3√3 s2)/ 2
(where s = one side of the hexagon)
if one side a the little white hexagon equals 6 ft;
3√3 6ft.2/2 = 18√3/2 = 9√3
now for the bigger hexagon where one side is 12 ft;
3√3 12 ft.2/2 = 72√3/2 = 36√3
now the area of the bigger one minus the area of the smaller one;
36√3 - 9√3 = 46,77
You use the Pythagorean Theorem.
A squared + B squared = C squared
The length of the ladder (which is 10) would be the hypotenuse (c) and the distance it is away from the bottom of the tree (4 feet) can be your a or b.
so you would do 4 squared + b squared= 10 squared
16+b squared=100
b squared = 84 (100-16). Now at the end, you square root your answer so now it would be b= 9.1651513 or just rounded to 9.17
