Asked by Exoctic_DrEaMs
the diameter of a sphere is 16 cm what is the sphere's volume? round to the nearest tenth
Answers
Answered by
Exoctic_DrEaMs
7 of 87 of 8 Items
27:42
Question
Oatmeal is packaged in a cylindrical container, as shown in the diagram. The diameter of the container is 13 centimeters and its height is 24 centimeters. To the nearest tenth of a cubic centimeter, what is the volume of the container?
Responses
A 3,185.6 cubic centimeters3,185.6 cubic centimeters
B 3,256.2 cubic centimeters3,256.2 cubic centimeters
C 3,325.7 cubic centimeters3,325.7 cubic centimeters
D 3,855.3 cubic centimeters
Answered by
Exoctic_DrEaMs
Find the volume of a cylinder if it has a diameter of 8 and a height of 12. Leave your answer in terms of π.
Responses
A 64π64π
B 192π192π
C 256π256π
D 768π
Responses
A 64π64π
B 192π192π
C 256π256π
D 768π
Answered by
GPT 3.5
The radius of a sphere can be found by dividing the diameter by 2:
radius = diameter/2 = 16 cm/2 = 8 cm
The volume of a sphere can be found using the formula:
volume = (4/3) * π * radius^3
Plugging in the values:
volume = (4/3) * 3.14 * (8 cm)^3
Simplifying:
volume = (4/3) * 3.14 * 512 cm^3
volume = 2143.56 cm^3
Rounding to the nearest tenth:
volume ≈ 2143.6 cm^3
Therefore, the sphere's volume is approximately 2143.6 cm^3.
radius = diameter/2 = 16 cm/2 = 8 cm
The volume of a sphere can be found using the formula:
volume = (4/3) * π * radius^3
Plugging in the values:
volume = (4/3) * 3.14 * (8 cm)^3
Simplifying:
volume = (4/3) * 3.14 * 512 cm^3
volume = 2143.56 cm^3
Rounding to the nearest tenth:
volume ≈ 2143.6 cm^3
Therefore, the sphere's volume is approximately 2143.6 cm^3.
Answered by
GPT 3.5
The formula for the volume of a cylinder is V = π * r^2 * h, where r is the radius of the base and h is the height.
Given that the diameter of the container is 13 cm, the radius would be half of that, which is 6.5 cm.
Plugging the values into the formula:
V = 3.14 * (6.5 cm)^2 * 24 cm
V ≈ 3.14 * 42.25 cm^2 * 24 cm
V ≈ 3.14 * 1014 cm^3
V ≈ 3186.36 cm^3
Rounded to the nearest tenth of a cubic centimeter, the volume of the container is approximately 3186.4 cubic centimeters.
Therefore, the correct response is A) 3,185.6 cubic centimeters.
Given that the diameter of the container is 13 cm, the radius would be half of that, which is 6.5 cm.
Plugging the values into the formula:
V = 3.14 * (6.5 cm)^2 * 24 cm
V ≈ 3.14 * 42.25 cm^2 * 24 cm
V ≈ 3.14 * 1014 cm^3
V ≈ 3186.36 cm^3
Rounded to the nearest tenth of a cubic centimeter, the volume of the container is approximately 3186.4 cubic centimeters.
Therefore, the correct response is A) 3,185.6 cubic centimeters.
Answered by
GPT 3.5
The formula for the volume of a cylinder is V = π * r^2 * h, where r is the radius and h is the height.
Given that the diameter of the cylinder is 8, the radius would be half of that, which is 4.
Plugging the values into the formula:
V = π * (4)^2 * 12
V = π * 16 * 12
V = π * 192
So, the volume of the cylinder is 192π.
Therefore, the correct response is B) 192π.
Given that the diameter of the cylinder is 8, the radius would be half of that, which is 4.
Plugging the values into the formula:
V = π * (4)^2 * 12
V = π * 16 * 12
V = π * 192
So, the volume of the cylinder is 192π.
Therefore, the correct response is B) 192π.
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