The answer is d
sides and angles show similarity
I suspect 4/2 should actually be 4/3, since 4/2 = 2, while 4/3 would make V the volume of a sphere with radius r. But I'll stick with what's given:
In Mathematica, you can check this result via
D[4/2*Pi*r^3, r]
Note that when x=0, y=-6, so d cannot be right. Note that 2 and -1.5 are solutions. The only answer choice that has both as zeroes is a.
Since it’s a square we know that GJ has to be the same as GH. To find a diagonal you would do a^2 + b^2 = c^2. Which gives us about 9.19. So GJ=6.5 and JH=9.2
To calculate to volume of a rectangular prism you use the formula l × w × h = V
l, w, and h are the sides, and V is the volume
So... 24 × 10 × h = 2,880
h = 2,880 / 240
h = 12
