Start with the volume equation for a sphere:
V=4/3pi•r^3
The dimensions of the cylinder allow for a sphere with a diameter of 20 centimeters, so the radius of this sphere will be 10 centimeters. Substituting this into the equation:
V=4/3pi•(10)^3
or the uppermost right answer (B).
If 500 miles is represented by 7.5 inches:
Divide 500 by 7.5
500/7.5 = 66.666
Multiply this by 3.3
66.666*3.3 = 220
The answer is 220 miles
1) use the distance formula to find that the radius (r) of the circle = 5
2) use the midpoint formula to find that the center of the circle (h,k) = (3, 0)
3) Now use the formula of a circle and input the (h,k) and r to create:
(x - 3)² + (y - 0)² = 5² → (x - 3)² + y² = 25
4) input the "x" value given in the question (x = 0) and solve for "y":
(0 - 3)² + y² = 25 → 9 + y² = 25 → y² = 16 → y = +/- 4
Since the question states that "b" must be positive, you can disregard the -4.
Answer: b = 4
Step-by-step explanation:
V should be written as (1/3) pi r^2 h
V = (1/3) pi r^2 h multiply by 3
3V = pi r^2 h Divide by pi
3V/ pi = r^2 h Divide by r^2
3V / (pi *r^2 ) = h
Answer:
Step-by-step explanation:
perp. -4/3
y + 2 = -4/3(x - 3)
y + 2 = -4/3x + 4
y = -4/3x + 2
