Need help with explanation not just the answer. Thanks

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fnyyl01

Mathematics

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Explanation & Answer

bottom right the formula is as you said 4pir^2 8yrd is your radius

so what you do is plug it in 4(pi)8^2 to get = 804.24772 yrds and the volume is as you say 4pir^3  all over 3 which is

4 pi (8)^3 /3  you get 6433.98175455 then you divide by 3 and get 2144.6605845


middle right

the volue is the base times height so we have to find the area of the base then times it by the height so the area of a circle is pir^2 which is pi(8)^2= 201.0619298 then times it by 13 for the height and you get 2613.80508m^3 and the area is using the formula you have

for the area of the circle is 2pi r^2 since we have 2 circles and that is = 2pi8^2= 402.1238596594 then the formukla for the height is 2pirh which is 2pi8*13=653.451271946677 add that to the answer from before and you get the surface area as 1055.575m^2

top right

square base pyramid so you need to fnd the area of the base and add it to the area of the triangles.

the base is a square so 18*18=324m^2 for the base then we have 4 triangles and the formula for that is 1/2*base*height in this case 4(1/2)(base=18)(height=15)= 540m^2 then add the base and you get 864m^2 for the surface area and for the volume of a triangular pyramid you do base^2 * height/3 which is 18^2 *(12/3) = 324*4= 1296m^3 for the volume

as for the left side i am running out of time so i will just post the answers in a few minutes since they are the exact same as the right side


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