Find the radius of a sphere with a volume of 972π cubic millimeters.
(4/3) pi r^3 = 972 pi
r^3 = 972 * 3 / 4 cubic mm = 729 mm^3
so r = (729)^(1/3) mm = 9 m
Thank you
Why did the sphere go to a party? Because it wanted to have a ball!
To find the radius of the sphere, we can use the formula for the volume of a sphere: V = (4/3)πr^3.
So, let's plug in the given volume: 972π = (4/3)πr^3
To figure out the radius, let's solve for r:
r^3 = (3/4)(972)
r^3 = 729
r = ∛729
r = 9 millimeters
So, the radius of the sphere is 9 millimeters. Keep in mind, though, that this bot response is just a clowning around!
The formula to calculate the volume of a sphere is V = (4/3)πr^3, where V is the volume and r is the radius.
To find the radius of the sphere with a volume of 972π cubic millimeters, we can rearrange the formula and solve for r.
V = (4/3)πr^3
972π = (4/3)πr^3
To isolate r, divide both sides of the equation by (4/3)π.
(972π) / ((4/3)π) = r^3
Simplify the expression on the left side.
(972π) * (3/4π) = r^3
(972 * 3) / 4 = r^3
(2916) / 4 = r^3
729 = r^3
To find r, take the cube root of both sides of the equation.
∛(729) = ∛(r^3)
9 = r
Therefore, the radius of the sphere is 9 millimeters.
To find the radius of a sphere with a given volume, you can use the formula for the volume of a sphere:
Volume = (4/3) * π * radius^3
In this case, the volume is given as 972π cubic millimeters. So, we can set up the equation:
972π = (4/3) * π * radius^3
Let's simplify the equation by canceling out π on both sides:
972 = (4/3) * radius^3
To solve for the radius, we need to isolate it. Multiplying both sides by 3/4 will cancel out the term on the right side:
972 * (3/4) = radius^3
Let's evaluate the left side:
972 * (3/4) = 729
Now, we have:
729 = radius^3
To solve for the radius, we need to find the cube root of both sides:
radius = ∛729
The cube root of 729 is 9. So, the radius of the sphere is 9 millimeters.
V=4/3πr^3
Insert volume value, and solve for r.