DMCA
Contact
Privacy Policy

Home » A sphere has a surface area of 314 square centimeters. Find the radius of the sphere. - Abbey Badges

A sphere has a surface area of 314 square centimeters. Find the radius of the sphere. - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

Content is being prepared. Please check back later.

📚 You May Also Like These Articles

📌 Let \( y = \cos\theta \), then:

📌 4\cos^3\theta - 4\cos\theta + 1 = 0 \implies \cos 3\theta = \frac{1}{4}

📌 Using identity: \( \cos 3\theta = \frac{1}{4} \implies 3\theta = \pm \arccos\left(\frac{1}{4}\right) + 2k\pi \)

📌 \theta = \frac{1}{3} \arccos\left(\frac{1}{4}\right),\quad \frac{1}{3}\left(2\pi - \arccos\left(\frac{1}{4}\right)\right),\quad \frac{1}{3}\left(4\pi + \arccos\left(\frac{1}{4}\right)\right)

📌 So the three real solutions for \( y \) are:

📌 y_k = \frac{1}{3} \arccos\left(\frac{1}{4}\right) + \frac{2k\pi}{3},\quad k = 0,1,2

📌 x_k = 2\cos\left( \frac{1}{3} \arccos\left(\frac{1}{4}\right) + \frac{2k\pi}{3} \right),\quad k = 0,1,2

📌 But for simplicity and clarity in competition setting, and since no cleaner algebraic form exists, we conclude:

🔥 Popular Posts

They HID HER NAME IN ARKIA—THE REAL DIARY CRACKS OPEN THE DARK TRUTH
ARKIA’S FORBIDDEN POWER EXPOSED—YOU’RE NOT READY FOR THIS LEVEL OF DEC...
The LOST CIVILIZATION OF ARKIA—BEFORE TIME BREAKS—WHAT THEY’VE BURIED...
Arthur and the Invisibles you never knew was hiding in plain sight—thi...
They thought Arthur was just the leader—until he showed us what true i...
The hidden truth about the invisibles only Arthur could unlock—spoiler...
Can Arthur’s invisibility save the world when everyone’s trying to des...
Arthur’s secret side—showing up invisible when the stakes couldn’t be...
No Motion Detected—Another Smart Camera Finally Caught Something!
Your Home’s Watching You Better Than You Thought—Watch This!

📝 Recent Posts

The Hidden Legacy of Rileys Lincoln No One Expected He Was Holding Tig...
RILEY MAE STUNNING EXPOSED IN SHOCKING, UNTRAPTABLE NUDITY REVEALED
The Shocking Truth About Riley Mae: Where Shock Meets Desire
Riley Mae Drops All—Undressed And Unapologetic In Breathtaking Detail
You Won’t Believe What Riley Mae Dropped Online—Raw, Real, and Scandal...
RILEY MAE NUDITY SHOCKS THE INTERNET—BREAKING _No Filters, No Regrets_
Richriel Reid Exposed—Her Hidden Fortune Shocked the World!
How Much Is Riiley Reid Really Worth? The Truth Covers It Up!
Is Riiley Reid’s Billion-Dollar Career Unraveling? The Surprising Numb...
Riiley Reid’s Net Worth Leaps Over Limits—Music Star or Buyer’s Remors...

© 2026 Abbey Badges · Powered by WordPress

Disclaimer: This website operates exclusively as an informational archive. Content consists of publicly available international death records, condolence statements, and memorial information. The site does not provide real-time news coverage or entertainment content.