Question

Please help! Will fan and medal!
Your friend brings hot chocolate to school in the cylindrical thermos and drinks from her cylindrical mug shown.

Answer 1

1. Your friend fills the thermos with hot chocolate to a height of 10 inches. How much does she bring to school? Leave your answer in terms of π. Volume equation for a cylinder is pi * r^2 * h. r=2in, h = 10in. π * 2in * 2in * 10in = π40in. She brings π40in^3.


2. The inside bottom of the mug is 4 inches from the top. Find the volume of the mug. Leave your answer in terms of π. Volume equation for a cylinder is pi * r^2 * h. r = 1.5in, h = 4in. π * 1.5in * 1.5in * 4in = π * 2.25in * 4in = π9in^3.


3. Each time your friend fills the mug, she fills it 80% full and then drinks it completely before filling up again. How much hot chocolate does she pour into the mug each time? Leave your answer in terms of π. 80% of 9 in = 7.2in. 80% = 0.80. 0.8 times 9in = 7.2in. Each time that your friend fills the mug up, she fills it up π7.2in^3.

4. Is the mug more than half full after the last pour from the thermos? Justify your answer.

Answer 2

I don't know how to do the 4th one? And are the other ones right?

Answer 3

Well, the thermos holds about 125.66 square inches of hot chocolate.
When the friend fills the mug 80% of the way, they remove about 22.62 square inches of hot chocolate from the thermos
After 1 pour: 103.04
2 pours: 80.42
3 pours: 57.8
4 pours: 35.18
5 pours: 12.56 (the last pour)
Since 12.56/22.62 is over 50%, the mug is more than half full.
I checked the other answers and they seem to be correct.

Answer 4

I thought the thermos held 40in in all?

Answer 5

40π inches cubed
I just simplified by multiplying 40 and 3.141592...