Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
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]
[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 trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.
