Answer:
288π or 904.78
Step-by-step explanation:
We know that the diameter of this beach ball is 12 inches and we want to determine how much air it can hold using the formula for the volume of a sphere which is
× π × r³ where 'r' is the radius. In the question we are given the diameter not the radius but we can half the diameter to find the radius so 12 ÷ 2 = 6. The radius of the beach ball is 6 inches so let's work out how much air it can hold.
Volume =
× π × r³
→ Let's substitute in the values
Volume =
× π × 6³
→ Simplify
Volume =
× π × 216
→ Simplify further
Volume = 288π or 904.78
Answer:
The amplitude is 34. So therefore your answer is 34.
Step-by-step explanation:
Vertical Shift: 4
Amplitude: 34
Period: 2pi/3
First, solve for the x - intercept. To do so, equate y to 0 and solve for x.
0 = 4x - 2, x = 1/2
Second, solve for the y - intercept. Equate x to 0 which will give us,
y = (4)(0) -2, y = -2
Therefore, the x-intercept is 1/2 and y-intercept is -2.