Cut 5 equal sections from a 2 foot long ribbond
We have been given that the volume of a cone is 113.04 cubic mm. We are asked to find the approximate volume of a sphere that has the same height and a circular base with the same diameter.
We know that volume of cone is
.
The height is equal to the diameter. We know that diameter is 2 times radius, so we can represent this information in an equation as:

Upon substituting
in volume of cone, we will get:


We know that volume of sphere is
.
Upon comparing volume of cone with volume of sphere, we can see that volume of sphere is 2 times the volume of cone.

Since
, so volume of sphere would be:


Therefore, volume of sphere would be 226.08 cubic mm.

The 1st option because needed to flip the inequalities sign when multiplied by a negative.
Hope this helps. - M
In this equation C means the total. In order to find the total you must add the two class together to get the total. The equation that represents this would be the fourth one. 65 + 176 = C
3(x^2+10x+5)-5(x-k)=
3x^2+30x+15-5x+5k=
3x^2+25x+15+5k
for this to be divisible by x every term must include x or get eliminated
the problematic terms are 15 and 5k
to eliminate them they must equal 0 when added:
15+5k=0
5k=-15
k=-3
so A) -3 is the solution