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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

This is a quadratic equation, for these types of questions it is often easiest to try and rearrange the formula into the form ax^2 + bx + c = 0, where a, b and c are whole numbers. Therefore the first thi...

x² + x - 12 = 0/ x² + 4x - 3x - 12 = 0 (split x into two numbers which multiply to equal -12)/ x(x + 4) - 3(x + 4) = 0 (take out x and 3 respectively)/ (x + 4)(x - 3) = 0 (collect te...