Let's assume that the mass of the cylinder is given by the equation: m = k * r^2 * h, where k is the constant of variation.
If we increase the radius by 20%, the new radius becomes 1.2r.
Similarly, if we increase the height by 10%, the new height becomes 1.1h.
Therefore, the new mass (m') of the cylinder can be calculated as follows:
m' = k * (1.2r)^2 * (1.1h)
= k * 1.44 * r^2 * 1.21 * h
= (1.44 * 1.21) * (k * r^2 * h)
= 1.74 * m
So, the new mass (m') is 1.74 times the original mass (m).
To find the percentage increase in mass, we can use the formula:
% Increase = ((new mass - original mass) / original mass) * 100
Plugging in the values, we get:
% Increase = ((1.74m - m) / m) * 100
= (0.74m / m) * 100
= 74%
Therefore, the percentage increase in mass is 74%.
A mass of cylinder m varies jointly as the square of the radius and as the height h.If the radius is increased by 20% and the height by 10%,find the percentage increase in mass
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