Vsphere=(4/3)pir^3
Voriginal=(4/3)pir^3
when radius is multiplied by 4
replace r with 4r
Vnew=(4/3)pi(4r)^3
Vnew=(4/3)pi(64r^3)
Vnew=(64)(4/3)pir^3
Vnew=(64)(Voriginal)
the volume is 64 times the original
Lets use a rule of three simple with direct proportion to solve:
20 boxes -----> 15 min
100 boxes ----> x
x = (100)(15)/20
x = 75
therefore it takes 75 mins to stack 100 boxes
If we use fractions to solve:
15/20 = x/100
and solve for x.
20/15 = 100/y
solve for y
Answer:
B
Step-by-step explanation:
The formula of a volume of a cylinder:

The formula of a volume of a cone:

Therefore, if a cone has the same radius and height like a cylinder, then the volume of a cone is three times smaller than the volume of a cylinder.
Therefore we have:

The formula of a volume of a sphere:

If a cone has that same lengths of a radius and a height, then the formula of a volume is:

If a cone and a sphere have the same radius, then the volume of a sphere is four times greater than a volume of a cone.
Therefore we have:

1/4 = 2/8. Remember that. This means that 1/8 is equal to half of a month. It there is 5/8, you can add a half month for every eight. In this case, it will take 2 and a half months
Hope this helped!!!!