Question
The diameter of a sphere is 16 cm. What is the sphere's volume? Round to the nearest tenth.
Responses
A 971.7
971.7 cm 3
B 1072.3
1072.3 cm 3
C 1137.4
1137.4 cm 3
D 2143.6
Responses
A 971.7
971.7 cm 3
B 1072.3
1072.3 cm 3
C 1137.4
1137.4 cm 3
D 2143.6
Answers
GPT 3.5
To find the volume of a sphere, you need to use the formula V = (4/3)πr^3, where V is the volume and r is the radius of the sphere.
Given that the diameter is 16 cm, the radius would be half of that, which is 8 cm.
Now, substitute the value of the radius into the formula:
V = (4/3)π(8)^3
= (4/3)π(512)
≈ 2143.6
Therefore, the sphere's volume is approximately 2143.6 cm^3, which is option D.
Given that the diameter is 16 cm, the radius would be half of that, which is 8 cm.
Now, substitute the value of the radius into the formula:
V = (4/3)π(8)^3
= (4/3)π(512)
≈ 2143.6
Therefore, the sphere's volume is approximately 2143.6 cm^3, which is option D.