y = - x - 34
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 68, 0 ) and (x₂, y₂ ) = (0, - 34 )
m = =
= -
the y-intercept = (0, - 34 ) ⇒ c = - 34
y= - x - 34
Answer: 267.947 (or 267.95) inches^3
Step-by-step explanation:
The formula for the volume of a sphere is .
To find your radius (r), divide the diameter of 8 inches by 2. <em>The radius is 4 inches.</em>
Plug in your numbers to the volume equation to get . The first step is to cube 4 (4*4*4) to get <em>64</em>. Now your equation is
.
Multiply 3.14 and 64 to get <em>200.96</em>. The equation is now or
.
Multiply the numerators (4 * 200.96) and denominators (1 * 3) to get a final equation of .
Finally, divide 803.84 by 3 to get the final answer of 267.947 in^3.