what is the radius of a sphere if the volume is 2123 cubic cm
Volume of sphere,
V = 4/3 pi r^3
2123 = 4/3 pi r^3
6369 = 4 pi r^3
1592.25 = pi r^3
1592.25 = (3.14)r^3
507.086 = r^3
r = 7.97432
To find the radius of a sphere when given the volume, we can use the formula for the volume of a sphere:
V = (4/3) * π * r^3
Here, V represents the volume and r represents the radius of the sphere.
Given that the volume V is 2123 cubic cm, we can substitute this value into the formula and solve for r.
2123 = (4/3) * π * r^3
To isolate r^3, we can divide both sides by (4/3) * π:
2123 / [(4/3) * π] = r^3
Now, we can calculate this expression to find the value of r^3:
r^3 = (2123 * 3) / (4 * π)
r^3 ≈ 505.923
To find r, we can take the cube root of 505.923:
r ≈ ∛(505.923)
r ≈ 8.04 cm (rounded to two decimal places)
Therefore, the radius of the sphere is approximately 8.04 cm.
To find the radius of a sphere, you can use the formula for the volume of a sphere:
V = (4/3) * π * r^3
In this case, the volume of the sphere is given as 2123 cubic cm. Let's solve for the radius.
2123 = (4/3) * π * r^3
To isolate r^3, we can divide both sides by (4/3) * π:
2123 / ((4/3) * π) = r^3
Now, let's evaluate the right side of the equation:
r^3 = 2123 / ((4/3) * π)
Simplify the right side:
r^3 = 2123 / (4/3) * (3/π)
r^3 = 2123 / (4/π)
r^3 = 2123 * (π/4)
Now, take the cube root of both sides to find r:
r = (2123 * (π/4))^(1/3)
Using a calculator, evaluate the right side to find the radius.