A water balloon shaped like a sphere is filled with water. The water balloon has a diameter of 3 inches. Which measurement is closest to the volume of water in the water balloon in cubic inches? A. 14.13 cu. in. B. 3.53 cu. in. C. 113.04 cu. in. D. 3.33 cu. in.

Option A. 14.13 cu. in

The volume of the water balloon is 14.13 in³

Step-by-step explanation:

First we calculate the radius

r = 3in / 2

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius  = 1.5in

π = 3.14

V = ⁴⁄₃πr³

we replace with the known values

V = ⁴⁄₃ * 3.14 * (1.5in)³

V = 4.187 * 3.375 in³

V = 14.13 in³

The volume of the water balloon is 14.13 in³

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: