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A cylinder has radius 2cm and height 9cm. A cone has radius r cm and height h cm. The ratio r : h is 1 : 4. The volume of the cone is equal to the volume of the cylinder. Work out the value of r.

Firstly, we will find the volume of the cylinder using the formula V_cylinder =π r 2 h . Inputting the numbers given in the question gives V_cylinder = 36π.Given that V_cylinder = V_cone, and using the formu...
AC
Answered by Alice C. • Maths tutor
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What would be the economic impacts of a decrease in the tax rate for all tax brackets? Use the idea of aggregate demand your answer.

Using the concept of aggregate demand as a formula of Consumption (C), Investment (I), Government Spending (G) and Net Exports (X-M), we have the formula of AD= C + I + G + (X-M). An decrease in taxes for al...
DS
Answered by Daniel S. • Economics tutor
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What is the role of ADH in the regulation of water in the body (osmoregulation)?

ADH (anti-diuretic hormone) is released by the pituitary gland in the brain. Differing amounts of ADH are secreted by the pituitary gland depending on the concentration of water in the blood plasma, which is...
LM
Answered by Laura M. • Biology tutor
8106 Views

If y = 1/x^3, find an expression for dy/dx

Write down y = 1/x 3 This can be rewritten as y = 1x -3 or just y = x -3 as if the x is on the bottom of the fraction, it can be rewritten with a negative version of the power 3. A simple way of working this...
PB
Answered by Pete B. • Maths tutor
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Prove the identity (sin2x)/(1+(tanx)^2) = 2sinx(cosx)^3

For a proof like this, I like to start with the more difficult-looking side, and aim to end up with the expression on the other side. Starting with the left hand side, the first thing to change is the sin2x,...
AC
Answered by Alice C. • Maths tutor
9528 Views