Answer:
261.8 cm^3
Step-by-step explanation:
1) find the base area
base area = radius^2 x pi = 5^2 x pi = 25 x pi = 78,539816 cm^2
2) find the volume
V = (base area x height)/3 = (78.539816 x 10)/3 = 785.3/3 = 261.8 cm^3
There are a large number of possibilities, since each box is 1 cubic foot. We do not know the exact dimensions of each box (could be 1 ft x 1 ft x 1 ft, or 2 ft x 0.5 ft x 1 ft, or 4 ft x 0.5 ft x 0.5 ft). But in the simplest case, where each box is 1 ft x 1 ft x 1 ft, some possible dimensions are:
10 ft x 16 ft x 8 ft
20 ft x 8 ft x 8 ft
5 ft x 16 ft x 16 ft
10 ft x 32 ft x 4 ft
And so on, as long as each of the storage box dimensions are divisible by the dimensions of the boxes (in this case, 1 ft)
Peter walks into 3 different points. If you make a diagram of the direction, you can see that he will form a triangle with a=200, b= 180m, and cos c= cos 180-105= cos 75.
Using law of cosine, the length of C would be:
c^2= a^2 + b^2 - 2ab cos c
c^2= 200^2 + 180^2 - 2(200)(180) cos 75
c^2= 40,000+ 32,400 - 18,645
c^2= 53765
c= 231.87m