Question

find the volume of the composite solid round your answer to the nearest tenth looks like a cylinder with half a sphere connected on each end it is 12cm long and the half shperes show 3cm halfway for radius

Answer 1

really need help, i have just a few minutes..soryy

Answer 2

Note the prerequisites for the question:
Volume of a cylinder = \(\pi*r^2*h\) [r = radius, h = height, \(\pi\) = 3.14]
A hemisphere = 1/2 a sphere.



Volume of sphere = \(\frac{4}{3}*\pi*r^3\)
Volume of hemisphere = 1/2 volume of a sphere = \(\frac{2}{3}*\pi*r^3\)

So for this question, you really need to consider the two hemispheres at the end of the cylinder as one complete sphere [Why? Because 2 hemispheres make up one sphere]

So the composite figure can be something like this volumetrically.



So, now you can calculate the volume of the cylinder and the volume of the whole sphere individually where both have the radius 3cm and the cylinder has the length of 6cm by using the above formula.

I can prove the formulae if you need it, but I don't think you'd require it here.

Understood this? :)