5.8
a2+b2=c and the once you have c which was
34 you find the square root of 34 which is 5.8 i’m kind of positive that i’m right
For this case we have by definition, that the volume of a sphere is given by:

Where:
r: It is the radius of the sphere
If the radius is divided by 3 we have:


ANswer:
the volume decreases considerably because the denominator increases
Answer: 4.5
<u>Step-by-step explanation:</u>
First, find the points of intersection by solving the system.
y = x² + 2x + 4
y = x + 6
Solve by substitution:
x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1
Now, integrate from x = -2 to x = 1
<em>the bottom of the integral is -2 </em>
=
=
= 
= 
= 
= 
= -3 + 1.5 + 6
= 4.5
The vertex and the t-intercept where t>0, will help solve this problem. Sending the work on the attachment.