ANSWER: V=883.125 in^3
EXPLANATION:
*The radius is had the diameter. So, the radius is 7.5 because the diameter is 15.
V = 4/3 πr³
V = 4/3 (3.14)(7.5)³
V= 1766.25in³
*You found the volume of the entire sphere (1766.25in³). To find half, you divide by 2!
V=1766.25in³/2
V=883.125in³
Assuming the equation is 3x-2y+4=0 then the equation of the line, solving for y in terms of x, gives y=3/2x+2 the slope of this line is 3/2 then the slope of a line that is perpendicular is -2/3 .An easy way to see this is to draw the line. By definition the slope, m=tan(α) where α is the angle the line makes with the x axis. Let L=slope of the perpendicular line then L=tan(β) but the two lines with the x axis form a right triangle hence α+π-β=π/2 so β=π/2+α and L=tan(β)=tan(π/2+α)=-cot(α) = -1/tan(α)=-1/m.In our problem m=3/2 so L=-2/3.The geometry becomes clear if you make a sketch of the two lines. Hope this helps
Step-by-step explanation:
i have shown u the steps above
Answer:
20
Step-by-step explanation: