The large sphere has a diameter of 20 feet. Which expression represents the volume, in cubic
units, of the shaded part of the sphere?
4 ft
A(109) + 2(40)
o 2(10%) - (4)
o 7(209) + 2(43)
o 7(209) - (4)

(4/3)π(10^3) - (4/3)π(4^3)

Step-by-step explanation:

For this problem, we will assume the blue portion of the sphere is the "shaded region".  To find this shaded region, we need to take the volume of the larger sphere and subtract the volume of the smaller sphere.  To accomplish this, we need the equation for the volume of a sphere.

V = (4/3) π (radius)^3

With this in mind, we need the radius of the larger sphere (Half the diameter) and the radius of the smaller sphere (which is given).  So the larger sphere has a radius of 10ft, and the smaller sphere has a radius of 4ft.

Now we simply plug these values into a subtraction expression of both volumes to find the volume of the "shaded region"

(4/3)π(10^3) - (4/3)π(4^3)

Cheers.

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

~

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6