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.)
A sphere with a radius of 7 inches has a volume of 1,436.76 cubic inches.
A sphere with a radius of 9 units has a volume of 3,053.63 units3
volume sphere = 4/3 π radius³ → radius = ³√(¾ volume sphere ÷ π) = ³√(¾ × 972cm³ ÷ π) ≈ 6.1cm
Volume of a sphere is 4/3 pi times the cube of its radius.
The volume of a sphere is given by the formula V =⁴⁄ ₃πr3The volume of a sphere with radius 7cm = ⁴⁄ ₃π73 = 1436.76 cm3 (to 2 dps)
The volume of a sphere is proportional to R3 .So doubling the radius causes the volume to increase by a factor of 23 = 8 .
The radius of a sphere joins the center of the sphere to its circumference.
64The formula to find the volume of a sphere is4/3 * pi * r3where r is the radius of the sphere. So if the radius is increased by a factor of 4, then the formula becomes4/3 * pi * (4r)3 = 4/3 * pi * 64r3showing that the volume increases by a factor of 64.
The radius of a sphere is equal distance from the center of the sphere to all points within the sphere.
The area of a sphere is A=4*3.14 * r^2. Thus the area varies as the square of the radius. If the surface area is increased by a factor of 4, then the radius will have to increase by the square root of 4 which is 2.
bidyogammes
If the surface area of a spherical balloon increases by 11%, the radius will increase by approximately 3.3%. This relationship is based on the formula that relates surface area to radius in a sphere (Surface Area = 4πr^2).
Treat the 3D sphere as a 2D circle. The radius for the sphere is the same radius as for the circle. No matter where on the sphere you place a mark, the distance (radius) from the mark to the centre of the sphere will always be the same as the circle.
Surface tension is in equilibrium. The shape of a sphere has the highest volume to surface area to radius ratio. This shape is the lowest energy level a volume of liquid can have. Deforming it into another shape would involve an increase in surface area and an increase in the average radius.
The sphere's radius will be 7.973 cm
Radius of sphere is 6 meter.
The radius of a sphere is 1/2 of its height.