Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

A solid metal sphere of radius 32cm is melted down and recast to make 64 identical small spheres.what will be the radius of each small sphere?

Sagot :

[tex]V_1=\frac{4}{3}\pi R^3\\\\R=32cm\\\\V_1=\frac{4}{3}\pi\cdot32^3=\frac{131072}{3}\pi\ (cm^3)\\\\V_2=V_1:64\\\\V_2=\frac{131072}{64}\pi:64=\frac{131072}{3}\pi\cdot\frac{1}{64}=\frac{2048}{3}\pi\ (cm^3)\\\\r=?\\\\V_2=\frac{4}{3}\pi r^3[/tex]

[tex]\frac{4}{3}\pi r^3=\frac{2048}{3}\pi\ \ \ /:\pi\\\\\frac{4}{3}r^3=\frac{2048}{3}\ \ \ /\cdot\frac{3}{4}\\\\r^3=512\\\\r=\sqrt[3]{512}\\\\r=8\ (cm)\leftarrow answer[/tex]
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.