As size increases, the surface area : volume ratio decreases
A researcher calculated the surface area of a large number of toad eggs. She calculated the mean surface area to be 10.12 mm2. Toad eggs are generally spherical. She calculated the surface area using the following equation: 4πr2Use this equation to calculate the mean diameter of a toad egg. Give your answer to 3.s.f.
Step 1: Rearrange the equation to find the radius
r2 = surface area/4π
Step 2: Sub in relevant figuresr2 = 10.12 ÷ 12.56 = 0.805
Step 3: Find the square root of r2Square root of 0.805 = 0.897
Step 4: Find the diameter from the radiusD = 2r
2(0.897) = 1.794
Step 5: Round to three significant figures
1.79 mm
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