Hi Syarifah, what is the formula to find volume of a) cone and b) cylinder?

Vol. Of a cone = 1/3 π r² h
Vol. Of a cylinder = π r² h

If follow the formula you just provided, this means that the volume of container is addition of both cylinder and cone.

Total volume of container (in terms of pi):
4/3 pi r^2 h cm^3

We know h is 7cm and r is 4cm. You do the calculation. That is the answer part a (in cm3).

My answer is 149 1/3 π cm³.
Can you instruct me now on how to do part b? Does my answer still need to be in terms of π?

For part b, you have provided the cone formula 1/3 pi r^2 h. Since r is 4 and h is 7, the volume of cone in terms of pi is 112pi / 3 cm3.

Since (your answer from part a) takes 56s
112pi/3 takes 56 / (part a answer) x 112pi/3.

Your answer should be 14s. *Give it a try*

Yes your part a answer is correct. Good attempt! :)

I don't understand your explanation for part b , isn't the cone volume 37 1/3 π? And why is it per 3 seconds? Since u stated 112pi / 3cm³

There are 3 types of fractions. I left mine in improper fraction. You left yours in mixed numbers. Both are correct.

Oh I'm sorry I mistook your answer for 112 pi per 3

Is the answer 14 seconds?

Yes that is correct. For part c, you have to plot the graph.

Do note that the first 14s is when the water fills up the cone. It is fast because the cone has smaller volume comparing the cylinder. So u draw a straight line from 0 to 7cm (at 14s). And then you connect that with another straight line to 14cm (at 56s).

Hope my assistance have benefitted you. Good luck.

Thank you so much for your help. I hope you will help me with other questions that I have in future. Thank you for your time! :)
I really appreciate it