Velvet Star Monitor

Standout celebrity highlights with iconic style.

updates

What is the volume of the shape formed by rotating a square-minus-a-quarter-circle about one of the sides of the square?

Writer Emily Wong
$\begingroup$

We have a quarter circle in a square.

enter image description here

Please calculate the volume after rotating the colored part around $BC$ for $360^\circ$. I prefer solutions without calculus but if you could'nt find one without it, mentioning the calculus way is also really helpful.

PS: Don't pay attention to the thing near the AB and AD sides. It means the square side is equal to 3 but it does not matter. You can imagine any size.

$\endgroup$ 7 Reset to default

Know someone who can answer? Share a link to this question via email, Twitter, or Facebook.

Your Answer

Sign up or log in

Sign up using Google Sign up using Facebook Sign up using Email and Password

Post as a guest

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy