To find the volume of the box you will use the volume of the sphere formula to find the radius of the circular region of the sphere. You wil then double the radius to find the diameter.
V = 4/3 x pi x r^3
972 x pi= 4/3 x pi x r^3
729 = r^3
The cubic root of 729 is 9 because 9 x 9 x 9 = 729.
The radius is 9 inches, and the diameter is 18 inches.
The volume of the box is 18 in x 18 in x 18 in or 5832 in.³.
Answer:

Step-by-step explanation:
Set up an equation and solve for r using the formula for slope:

Answer:
4 units
Step-by-step explanation:
i hope its right
Answer:
30 degrees
Step-by-step explanation:
Answer:
2 ( e^3 + 1 )
Step-by-step explanation:
The path of the attached Rectangle is anti-clockwise
and the Integrand: P( x, y ) dx + q ( x , y ) dy
P( x, y ) = ye^x
q ( x , y ) = 2ex
hence : dq/dx - dp/dy = 2e^x - e^x = e^x
attached below is the remaining solution
using Green's theorem