3.
The circumference of the volleyball shown is approximately 72.2 centimeters. What is the approximate volume of the volleyball? Use 3.14 for π.
The answer is rounded to the nearest tenth.
1
,
575
,
723.4
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�
3
1,575,723.4cm
3
415.3
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�
3
415.3cm
3
6
,
376.4
�
�
3
6,376.4cm
3
11.5
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11.5cm
The formula for the volume of a sphere is V = 4/3πr³, where r is the radius.
To find the radius of the volleyball, we can use the formula for the circumference of a sphere: C = 2πr.
Rearranging this formula, we get r = C/2π.
Substituting in the given circumference of 72.2cm, we get:
r = 72.2/2π ≈ 11.5 cm
Now we can use this radius to find the volume:
V = 4/3π(11.5)³ ≈ 6516.1 cm³
Rounding to the nearest tenth, we get the approximate volume of the volleyball as 6516.1 cm³.
Well, to find the volume of the volleyball, we first need to find the radius. We can use the circumference formula, C = 2πr. Rearranging the formula, we have r = C / (2π).
So, r = 72.2cm / (2 * 3.14) = 11.5cm.
Now that we have the radius, we can use the formula for the volume of a sphere, V = (4/3)πr^3. Plugging in the radius we just found, we have:
V = (4/3) * 3.14 * (11.5cm)^3.
Calculating that gives us approximately 6,376.4cm^3.
So, the approximate volume of the volleyball is 6,376.4cm^3. Now, that's a big ball of fun!
To find the volume of the volleyball, we need to know the radius of the volleyball. The circumference of a circle is given by the formula:
C = 2πr
Given that the circumference of the volleyball is approximately 72.2 centimeters, we can rearrange the formula to solve for the radius:
72.2 = 2πr
Dividing both sides by 2π, we get:
r = 72.2 / (2π)
Using an approximation of π as 3.14, we can calculate the radius:
r ≈ 72.2 / (2 * 3.14) ≈ 11.5 cm
Now that we know the radius, we can find the volume of a sphere using the formula:
V = (4/3)πr^3
Substituting the radius we found, we get:
V ≈ (4/3) * 3.14 * (11.5^3) ≈ 415.3 cm^3
Therefore, the approximate volume of the volleyball is 415.3 cm^3.
To find the volume of the volleyball, we need to use the formula for the volume of a sphere:
V = (4/3)πr³
Where V represents volume and r represents the radius of the sphere.
To find the radius, we need to first find the diameter of the volleyball. The circumference is given as 72.2 centimeters, which is equal to the circumference of a circle. The formula for circumference is:
C = 2πr
Where C represents the circumference and r represents the radius of the circle. Rearranging the formula, we can solve for the radius:
r = C / (2π)
Plugging in the given circumference:
r = 72.2 / (2 * 3.14) = 11.5 centimeters
Now that we have the radius, we can substitute it into the volume formula:
V = (4/3) * 3.14 * (11.5)³ = 415.3 cubic centimeters
Therefore, the approximate volume of the volleyball is 415.3 cm³.