Question

A cylindrical water container is to be designed. The sum of its height and the diameter of its base must equal 26cm. Given that the radius of the base of the cylinder is rcm. (a) Write down an expression in terns of r for the height, in cm, of yhe cylinder. (b) Hence show that the volume V cm^3 of thr container is given by the formula V= 26 pi r^2-2 pi r^3. (c) Find dv/dr. Find thr volume of r for which the volume is a maximum. (e) Hence show that, wheb the volume is a maximum, the container holds more than 2 litres of water wheb full. [ Area of a circle = 2 pu r^2 ]​

Answer 1

Answer:

Simple

Step-by-step explanation:

=HCF of 24 and -42 = 6

24/6 = 4

-42/6= -7

=-7/4