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