Question

Help with math please? (View image then tell me answer and tell me how you got it from step-by-step)

Answer 1

Oh I remember these... just a lot of tedious work:/
but we are going to break the problem down by finding the volume of the half sphere and then the cylinder. After finding the measurements for both we just add them all together:)
first lets get the cylinder done
the formula for the can issss
$\pi r^{2} h$
so given that we know thatt
$\pi = 3.14$
r = 10
h = 16
so lets plug in our values
3.14 x 10² x 16
since they are all right by each other in the formula example we know that you multiply them.  So lets solve that 
3.14 x 10² x 16 = 5,024
So that means that the area of our cylinder is 5,024units³
Now before u go anywhere we still need to figure out the volume for the top:)
so the formula for our half sphere is 
4/3$\pi r$³
so lets find our value first
we know that 4/3 is just 4/3 soooo
4/3 = 4/3 
$\pi = 3.14$
r = 10 
so lets plug in our values 
4/3 x 3.14 x 10³
now we just solve and 10³ = 1,000
4/3 x 3.14 x 1,000 = 4,186.66667units³
But since we are finding half of a sphere we are going to take that amount and divide it by two. 
4,186.66667 ÷ 2 = 2,093.33334
So now we just add together our cylinder volume and half sphere 
half sphere = 2,093.33334units³
cylinder = 5,024units³
2,093.33334 + 5,024 = 7,117.33334
soo the volume of our shape is 7,117.33334 or rounded out we could just say 7,117
answer = 7,117units³
hope this was helpful
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