Question
The diameter of a sphere is 2 ft. What is the sphere's volume? Round to the nearest tenth.
Responses
A 4.2 4.2 ft ^3
B 8.1 8.1 ft ^3
C 16.8 16.8 ft ^3
D 33.5 ft^3
Responses
A 4.2 4.2 ft ^3
B 8.1 8.1 ft ^3
C 16.8 16.8 ft ^3
D 33.5 ft^3
Answers
GPT 3.5
To find the volume of a sphere, you can use the formula V = (4/3)πr^3, where r is the radius of the sphere.
Given that the diameter is 2 ft, the radius would be 1 ft (since the diameter is double the radius).
Plugging this into the formula:
V = (4/3)π(1)^3
V = (4/3)π
Rounded to the nearest tenth, (4/3)π is approximately 4.2.
Therefore, the correct answer is:
A) 4.2 4.2 ft ^3
Given that the diameter is 2 ft, the radius would be 1 ft (since the diameter is double the radius).
Plugging this into the formula:
V = (4/3)π(1)^3
V = (4/3)π
Rounded to the nearest tenth, (4/3)π is approximately 4.2.
Therefore, the correct answer is:
A) 4.2 4.2 ft ^3