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A sphere of radius r inside a cube touches each one of the six sides of the cube what is the volume of the cube in terms of r?
2r3, because if you have a radius touching all six sides, you could then double this to get the diameter of the sphere, which would be 2r, then this would be, being a cube, the length of every edge of the cube, which we cube or put to the 3rd power, to find volume.
What is the formula for the volume of a sphere with radius that equals 5?
The formula for the volume of any sphere isVolume = ( 4/3 pi ) x (cube of the radius)
What is the radius of a sphere with a volume of 332 cm3?
Radius of sphere is the cube root of 332*3/4*pi = 4.295527379 cm
How do you find the radius of a sphere when you have the volume?
The volume of a sphere is 4/3 Pi x radius cubed. So given V you multiply the volume by 3/4 and divide by Pi, then take the cube root of that entire quantity and you have the radius.
How do you find volume of a hollow sphere?
The volume of a sphere is calculated with the formula: V = 4/3 π r3 Volume is four thirds pi times the cube of the radius
What is the side length of a cube that has the same volume of a sphere with the radius of 1?
The side length of a cube that has the same volume of a sphere with the radius of 1 is: 1.61 units.
A sphere of radius r is inscribed in a cube what is the volume enclosed between the cube and sphere?
volume of the cube - volume of the sphere = volume enclosed between the cube and sphere
Can the surface to volume ratio of a sphere be the same as a cube?
No. The surface to volume ratio of a sphere is always smaller than that of a cube. This is because the sphere has the smallest surface area compared to its volume, while the cube has the largest surface area compared to its volume.
What is the volume of a sphere with radius of 2 m?
Volume of a sphere is 4/3 pi times the cube of its radius.
A sphere of radius r inside a cube touches each one of the six sides of the cube what is the volume of the cube in terms of r?
2r3, because if you have a radius touching all six sides, you could then double this to get the diameter of the sphere, which would be 2r, then this would be, being a cube, the length of every edge of the cube, which we cube or put to the 3rd power, to find volume.
What is the formula for radius of sphere?
The radius of a sphere is equal to one-half the diameter. If the volume of the sphere is known, then the radius (r) is equal to the cube root of 3/4 of (Volume/pi).
What is the formula for the volume of a sphere with radius that equals 5?
The formula for the volume of any sphere isVolume = ( 4/3 pi ) x (cube of the radius)
The largest sphere to be curved out of a right circular cylinder of radius 7centimeter and height 14centimeter. Find the volume of the sphere.?
Let the radius of the largest sphere that can be carved out of the cube be r cm.The largest sphere which can be carved out of a cube touches all the faces of the cube.∴ Diameter of the largest sphere = Edge of the cube⇒ 2r = 7 cm∴ Volume of the largest sphere
What is the radius of a sphere with a volume of 332 cm3?
Radius of sphere is the cube root of 332*3/4*pi = 4.295527379 cm
A sphere fits snugly inside a cube with 2.4 m edges what is the approximate volume?
To find the volume of the sphere that fits snugly inside a cube with 2.4 m edges, we first determine the radius of the sphere, which is half the edge length of the cube. Thus, the radius ( r ) is 1.2 m. The volume ( V ) of a sphere is given by the formula ( V = \frac{4}{3} \pi r^3 ). Plugging in the radius, the volume is approximately ( \frac{4}{3} \pi (1.2)^3 \approx 7.24 , \text{m}^3 ).
How do you find the radius of a sphere when you have the volume?
The volume of a sphere is 4/3 Pi x radius cubed. So given V you multiply the volume by 3/4 and divide by Pi, then take the cube root of that entire quantity and you have the radius.
If the radius of a sphere is 10cm and you increase the radius by 5 percent then how much percent incriment is there in the volume of the sphere?
The volume of the sphere is proportional to the cube of its radius.Increasing the radius by 5% causes the volume to increase by the factor of (1.05)3= (1.05 x 1.05 x 1.05) = 1.157625= 15.7625% increase in volume.(Regardless of what the radius and volume were before the increase.)
