2.
If a sphere has a diameter of 20 centimeters, what is the volume of the sphere? Use 3.14 for π.
The answer is rounded to the nearest tenth.
33
,
493.3
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3
33,493.3cm
3
3
,
140
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3
3,140cm
3
4
,
186.7
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�
3
4,186.7cm
3
12
,
560
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3
12,560cm
3
The volume of the sphere is 33,493.3 cm³.
To find the volume of a sphere with a diameter of 20 centimeters, you can use the formula:
V = (4/3)πr^3
First, you need to find the radius of the sphere. The radius is half of the diameter, so in this case, the radius would be 10 centimeters.
Now you can substitute the radius value into the formula:
V = (4/3)π(10)^3
V = (4/3)(3.14)(10)^3
V = (4/3)(3.14)(1000)
V = 4186.7 cubic centimeters
Therefore, the volume of the sphere is approximately 4186.7 cubic centimeters.
To find the volume of a sphere, you can use the formula V = (4/3)πr^3, where V is the volume and r is the radius of the sphere. The radius of the sphere is half its diameter, so in this case, the radius would be 20/2 = 10 centimeters.
Now, substitute the values into the formula:
V = (4/3) * 3.14 * (10^3)
V = (4/3) * 3.14 * 1000
V = 4.1867 * 1000
V = 4186.7 cm^3
Since the answer is rounded to the nearest tenth, the volume of the sphere is approximately 4186.7 cm^3.