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Hatshy [7]
3 years ago
13

The volume of the sphere is 500/3π cubic units. What is the value of x?

Mathematics
2 answers:
noname [10]3 years ago
4 0
The volume of a sphere is given by:
4/3 * πr³
From the figure, we can see that x is the radius of the sphere. Therefore, we may substitute x in the formula for volume and equate it to the given volume as follows:
500π/3 = 4/3 * πx³
4x³ = 500
x = 5

The value of x is 5 units
Arisa [49]3 years ago
3 0
1. The formula of the Volume of a sphere is V(r)=\frac{4}{3} \pi  r^{3}

2. the radius is x, and the resulting volume is \frac{500}{3} \pi units^{3}

3. \frac{4}{3} \pi x^{3} =\frac{500}{3} \pi

multiply both sides by 3 and divide them by \pi:

4 x^{3} =500

x^{3} = \frac{500}{4}= \frac{250}{2}=125

x= \sqrt[3]{125}=5 (units)

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