relative change in surface area =
= ((relative change in radius)^2) =
= ((relative change in diameter)^2)
relative change in volume =
= ((relative change in radius)^3) =
= ((relative change in diameter)^3)
where:
• relative change = (new value) / (previous value)
To change the relative surface area of a sphere:
relative change in radius =
= ((relative change in surface area)^(0.5))
relative change in diameter =
= ((relative change in surface area)^(0.5))
To change the relative volume of a sphere:
relative change in radius =
= ((relative change in volume)^(0.333))
relative change in diameter =
= ((relative change in volume)^(0.3333))
