PLEASE HELP!! I NEED THIS TODAY!You have a wooden cube and a spherical wooden ball.Both of them have the same volume: exactly 10 cubic inches.Which one is taller?Use the volume formulas. Show your work.

Answer:The sphere is taller than the cubeStep-by-step explanation:we know thatThe height of the cube is equal to the length side of the cube and the height of the sphere is equal to the diameter of the spherestep 1Find the length side of the cubewe know thatThe volume of the cube is equal to[tex]V=b^{3}[/tex]whereb is the length side of the cubewe have[tex]V=10\ in^{3}[/tex]substitute and solve for b[tex]10=b^{3}[/tex][tex]b=\sqrt[3]{10}\ in[/tex][tex]b=2.15\ in[/tex]step 2Find the diameter of the spherewe know thatThe volume of the sphere is equal to[tex]V=\frac{4}{3}\pi r^{3}[/tex]we have[tex]V=10\ in^{3}[/tex]substitute and solve for r[tex]10=\frac{4}{3}\pi r^{3}[/tex][tex]\frac{30}{4}=\pi r^{3}[/tex][tex]r=\sqrt[3]{\frac{30}{4\pi}}[/tex][tex]r=1.34\ in[/tex]Find the diameter[tex]D=2r=2*1.34=2.68\ in[/tex]step 3Compare[tex]2.68\ in > 2.15\ in[/tex]thereforeThe sphere is taller than the cube