In preparing for holiday festivities, confetti is stuffed into decorative spherical containers. Each container has a diameter of

Question

2 years ago

9

12 inches. Approximately how much space does each canister need filled with confetti?
A
452 in3

B
509 in3

C
905 in3

D
7,238 in3

1 answer:

professor190 [17] · Answer 1 · 2022-08-20T14:42:13+03:00

Answer:

C. 905 in³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere

We know that the volume of a sphere is expresses as

V= 4/3πr³

Given that the diameter of the sphere is 12inches

Radius r= 12/2= 6 inches

Substituting our radius we can solve for the volume

V=4/3(3.142*6³)

V= (4*3.142*216)/3

V= 2714.68/3

V= 904.9in³

Approximately V= 905in³