28-02-2021
Mathematics

contestada

T is directly proportional to the cube of r. T=21.76 when r=4 Find a formula for T in terms of r

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jimrgrant1 jimrgrant1

28-02-2021

Answer:

T = 0.34r³

Step-by-step explanation:

Given that T is directly proportional to r³ then the equation relating them is

T = kr³ ← k is the constant of variation

To find k use the condition T = 21.76 when r = 4 , then

21.76 = k × 4³ = 64k ( divide both sides by 64 )

0.34 = k

T= 0.34r³ ← equation of variation

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