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This problem can be solved by using elimination.Label 3x + y = 11 as equation (1) and 2x + y = 8 as equation (2).We first want to eliminate one of the variables so that we can then reach a value for the o...
Firstly, a quick overview of rationalising the denominator. For this, we want to make sure that the bottom half of the fraction (the denominator) is rationalised (and so doesn't contain any surds any more...
Multiply both sides by 5: 5x = 3r - 4Add 4 to both sides: 5x + 4 = 3rDivide both sides by 3: (5x + 4)/3 = r
Let radius of cylinder be r. Let height of cylinder be h. We know that the volumes of the hemisphere and cylinder are equal:2(pi)r3/3 = h(pi)r2.Multiplying both sides by 3 and dividi...
X=6m
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