What is the volume of a hemisphere shaped coffee if the width of the coffee cup is about 16.51 centimeters?
A. 2355.16 cm^3
B. 18,841.25 cm^3
C. 1177.58 cm^3
D. 12,850.80 cm^3

C. The volume of the hemisphere shaped coffee is 1177.58 cm³

Step-by-step explanation:

Given

Width of coffee cup = 16.51 cm

Required

Volume of the hemisphere shape

Given that the hemisphere shaped coffee is formed by the cup, the width of the coffee cup will be taken as the diameter of the hemisphere shape.

So,

Diameter, d = 16.51 cm

Volume of an hemisphere is calculated as follows

V = ⅔πr³

Where V represents the volume and r represents the radius.

Recall that radius is the half of a diameter.

Hence,

r = ½D

r = ½ * 16.51 cm

r = 8.255 cm

Substituton 8.255 for r in the above equation (taking π as 3.14)

V = ⅔πr³ becomes

V = ⅔ * 3.14 * 8.255³

V = 1177.577833

V = 1177.58 (Approximated)

Hence, the volume of the hemisphere shaped coffee is 1177.58 cm³

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: