The volume of a sphere can be given by V = 4.18879r3. You have to design a spherical container that will hold a volume of 55 cubic inches. What should the radius of the container be?

Question

unklerhaukus · Answer

$$V_{\text{ sphere}}=\frac 43\pi r^3\approx4.18879r^3$$
$$r=\sqrt[3]{\frac 3{4\pi}V}\approx \sqrt[3]\frac V{4.18879}$$

$$V=55 \left[\text{ in}^3\right]$$

$$r=\sqrt[3]{\frac 3{4\pi}55 \left[\text{ in}^3\right]}\approx \sqrt[3]\frac {55 \left[\text{ in}^3\right]}{4.18879}=\sqrt[3]{\frac{55}{4.18879}}[\text {in}]$$

anonymous · Answer

Ohemgee thank you bunches :)
Medal for you!!!! :D