The formula of a volume of a sphere:

R - radius
We have the volume = 288 in³. Substitute:
![\dfrac{4}{3}\pi R^3=288\qquad\text{multiply both sides by 3}\\\\4\pi R^3=864\qquad\text{divide both sides by}\ 4\pi\\\\R^3=\dfrac{216}{\pi}\to R=\sqrt[3]{\dfrac{216}{\pi}}\\\\R=\dfrac{\sqrt[3]{216}}{\sqrt[3]{\pi}}\\\\R=\dfrac{6}{\sqrt[3]{\pi}}\ in](https://tex.z-dn.net/?f=%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20R%5E3%3D288%5Cqquad%5Ctext%7Bmultiply%20both%20sides%20by%203%7D%5C%5C%5C%5C4%5Cpi%20R%5E3%3D864%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%7D%5C%204%5Cpi%5C%5C%5C%5CR%5E3%3D%5Cdfrac%7B216%7D%7B%5Cpi%7D%5Cto%20R%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B216%7D%7B%5Cpi%7D%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B%5Csqrt%5B3%5D%7B216%7D%7D%7B%5Csqrt%5B3%5D%7B%5Cpi%7D%7D%5C%5C%5C%5CR%3D%5Cdfrac%7B6%7D%7B%5Csqrt%5B3%5D%7B%5Cpi%7D%7D%5C%20in)
The formula of a surface area of a sphere:

Substitute:
![S.A.=4\pi\left(\dfrac{6}{\sqrt[3]{\pi}}\right)^2=4\pi\cdot\dfrac{6^2}{\sqrt[3]{\pi^2}}=\dfrac{4\pi\cdot36}{\sqrt[3]{\pi^2}}=\dfrac{144\pi}{\sqrt[3]{\pi^2}}\\\\S.A.=\dfrac{144\pi}{\sqrt[3]{\pi^2}}\cdot\dfrac{\sqrt[3]{\pi}}{\sqrt[3]{\pi}}=\dfrac{144\pi\sqrt[3]{\pi}}{\sqrt[3]{\pi^3}}=\dfrac{144\pi\sqrt[3]{\pi}}{\pi}=\boxed{144\sqrt[3]{\pi}\ in^2}](https://tex.z-dn.net/?f=S.A.%3D4%5Cpi%5Cleft%28%5Cdfrac%7B6%7D%7B%5Csqrt%5B3%5D%7B%5Cpi%7D%7D%5Cright%29%5E2%3D4%5Cpi%5Ccdot%5Cdfrac%7B6%5E2%7D%7B%5Csqrt%5B3%5D%7B%5Cpi%5E2%7D%7D%3D%5Cdfrac%7B4%5Cpi%5Ccdot36%7D%7B%5Csqrt%5B3%5D%7B%5Cpi%5E2%7D%7D%3D%5Cdfrac%7B144%5Cpi%7D%7B%5Csqrt%5B3%5D%7B%5Cpi%5E2%7D%7D%5C%5C%5C%5CS.A.%3D%5Cdfrac%7B144%5Cpi%7D%7B%5Csqrt%5B3%5D%7B%5Cpi%5E2%7D%7D%5Ccdot%5Cdfrac%7B%5Csqrt%5B3%5D%7B%5Cpi%7D%7D%7B%5Csqrt%5B3%5D%7B%5Cpi%7D%7D%3D%5Cdfrac%7B144%5Cpi%5Csqrt%5B3%5D%7B%5Cpi%7D%7D%7B%5Csqrt%5B3%5D%7B%5Cpi%5E3%7D%7D%3D%5Cdfrac%7B144%5Cpi%5Csqrt%5B3%5D%7B%5Cpi%7D%7D%7B%5Cpi%7D%3D%5Cboxed%7B144%5Csqrt%5B3%5D%7B%5Cpi%7D%5C%20in%5E2%7D)
Answer:
y = 1.5x.
Step-by-step explanation:
2 yellow (x) 3 red (y) (3 /2 = 1.5)
3 yellow 4.5 red (1.5)
4 yellow 6 red (1.5)
6 yellow 9 red (1.5)
So the equation is
y = 1.5x
I don’t know this but it’ll probably be the second one
Answer:
B one solution to the problem
3.825242926*10^16 is the answer.