Not to be outdone, Austin of delectable wants to double the volume of the jawbreaker that Karen made (1150.4in^3) What is the jawbreakers diameter?

Question

asked May 25, 2023 102k views

1 Answer

Birarduh · Answer 1 · 2023-05-28T23:33:19+0000

The volume of a sphere is given by the following formula:

$V=(4)/(3)((d)/(2))^3\pi$

We can use this formula to write the diameter as a function of the volume.

$d=^{}2((3)/(4\pi)V)^{(1)/(3)}$

We know the volume for Karen's Jawbreaker, it is 1150.4 in^3. Austen wants to double it

Since we know the desired volume, we can just evaluate this volume in our formula

$d=2((3)/(4\pi)2300.8)^{(1)/(3)}=16.3792275136\approx16.38in$

With this, we have our diameter. 16.38 inches.