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
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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.
To triple the lateral surface area of a cone, you must increase the radius while keeping the height constant. The lateral surface area ( A ) of a cone is given by the formula ( A = \pi r l ), where ( r ) is the radius and ( l ) is the slant height. Since the slant height is related to both the radius and the height, adjusting the radius proportionately will achieve the desired increase in surface area. Specifically, you need to increase the radius by a factor of ( \sqrt{3} ) while maintaining the same height.
Area varies as (radius)2.Volume varies as (radius)3 = (area)3/2If area increased by the factor of 3.7, then volume increased by the factor of (3.7)3/2 = 7.117 times (rounded)
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 you decrease a planet's orbital radius, its surface temperature will increase.
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.
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The surface of a sphere is: A=4? r2 From this, the surface are changes as the square of the radius. It does not change linearly.