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Elodia [21]
3 years ago
12

M is a directly proportional to r cubed when r=4 M=160

Mathematics
1 answer:
Paraphin [41]3 years ago
7 0

Answer:

1) When r = 2, M = 20.

2) When M  = 540, r = 6.

Step-by-step explanation:

M is a directly proportional to r cubed

This means that the equation for M has the following format:

M = ar^3

In which a is a multiplier.

When r=4 M=160.

We use this to find a. So

M = ar^3

160 = a(4^3)

64a = 160

a = \frac{160}{64}

a = 2.5

So

M = 2.5r^3

1) work out the value of M when r=2

M = 2.5*2^3 = 2.5*8 = 20

When r = 2, M = 20.

2) work out the value of r when M=540

M = 2.5r^3

540 = 2.5r^3

r^3 = \frac{540}{2.5}

r^3 = 216

r = \sqrt[3]{216}

r = 6

When M  = 540, r = 6.

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