The table below gives the surface area, S, and the volume, V of five different spheres, rounded
Question:
The table below gives the surface area, S, and the volume, V of five different spheres, rounded to 1 decimal place.
Given that S = aVb, where a and b are constants,
a. Show that log S = log a + b log V.
b. Copy and complete the table of values of log S and log V, giving your answers to 2 decimal places.
c. Plot a graph of log V against log S and draw in a line of best fit.
d. Use your graph to confirm that b = 1.5 and estimate the value of a to one significant figure.
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Step by Step Answer:
a For proving log S log a b log V we will be using data from the table in part a Replacing y log S x ...View the full answer
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Related Book For 
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
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