Question

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

Answer 1

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