I think is 4 follow me and la
You can look on the app Socratic to help you.
That is when h=0
so assuming yo meant
h(t)=-16t²+24t+16
solve for t such that h(t)=0
because when height=0, the gymnast hits the ground
so
0=-16t²+24t+16
using math (imma complete the square
0=-16(t²-3/2t)+16
0=-16(t²-3/2t+9/16-9/16)+16
0=-16((t-3/4)²-9/16)+16
0=-16(t-3/4)²+9+16
0=-16(t-3/4)²+25
-25=-16(t-3/4)²
25/16=(t-3/4)²
sqrt both sides
+/-5/4=t-3/4
3/4+/-5/4=t
if we do plus (because minus would give us negative height)
8/4=t
2=t
it takes 2 seconds
To find the volume of a sphere, we can apply the following formula:
(4
/3)πr^3
We know the radius is 10, so we can plug that value in.
(4/3) * pi * 10^3
<h3>V = 4188.79020479in^3</h3>
The question says "exact" volume, so I've included all of the digits in the tenths and beyond place, without rounding.
