h is directly proportional to r^2 Calculate a value that completes the table below. Give any decimal answers to 1 d.p mathrm(h) & mathrm(r) 56 & 4 87.5 & ?

Question

Answer 1

When

is directly proportional to

, there is a constant

such that

. To find the constant k, we can take the value of

and

from the given information and substitute it into the formula. From the table

. Now let's use the constant value to find the missing value of

. From the formula, we know that

. Substitute

and

into the formula, we get

. So

Therefore, the undetermined value of

is 5.0, which needs to be adjusted to 1 d.p., so the result becomes 5.0. ***The undetermined value of

in the given table should be 5.0 to one decimal place.***

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