Answer:
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
