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 of the balloon will increase by a factor of approximately 3.7^(3/2) or roughly 10.53. Since volume is proportional to the cube of the radius, and surface area is proportional to the square of the radius, when the surface area expands by a factor of 3.7, the volume expands by a factor of (3.7)^(3/2).
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
If the radius of a wire is decreased by a factor of 3, the resistance of the wire will increase by a factor of 9. This is because resistance is inversely proportional to the cross-sectional area of the wire, which is proportional to the square of the radius. So, decreasing the radius by a factor of 3 will result in the area decreasing by a factor of 9, leading to a 9-fold increase in resistance.
16
Four...
No, if the radius of a sphere doubles, its surface area increases by a factor of 4, not simply doubling. The surface area of a sphere is proportional to the square of the radius.
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 surface area is reduced by a factor 4, the volume by a factor 8.