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 .
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 joins the center of the sphere to its circumference.
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.
The radius of a sphere is equal distance from the center of the sphere to all points within the sphere.
bidyogammes
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.
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.
It depends on the shape. The volume of a sphere will increase differently to the volume of a cylinder, for example.
The volume of a sphere with a radius of 4cm is about 268cm3
The volume of a sphere with a radius of 2cm is about 33.5cm3
The sphere's radius will be 7.973 cm