By a factor of 32 = 9. In general, surface area (for any two similar objects) is proportional to the square of any linear measurement.
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 is 4.5135
If the radius of the hemispheres is 4, then that leave 4 units for the length if the straight part of the cylinder. Total surface area = surface area of 1/2 sphere of radius 4 + lateral surface area of cylinder of radius 4 and height 4 + surface area of 1/2 sphere of radius 4. = surface area of sphere of radius 4 + lateral surface area of cylinder of radius 4 = 4*3*pi*43 + pi*42*4 = 469.1 cubic units.
The surface area of a sphere with a radius of 15 units is 2,827 units2
The surface area of a cylinder with the radius of 2 and height of 3 is 62.83 units2
9
nine:0
As the area of a circle is pi*radius2 the increase in area is a factor of 32. So tripling the radius gives an increase in area by a factor of 9.
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 volume changes as radius squared and linear with height, so tripling radius and double of height gives 3 x 3 x 2 = 18 times more volume
16
Four...
The surface area is reduced by a factor 4, the volume by a factor 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.
it will increase more if you double the radius because the dimensions multiply and the curved surface has less area to cover as its height decreases and width increases
If you increase the radius, the volume will increase more than the area.
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.