Question

@iGreen.

A drinking glass is shaped like a cylinder with a height of 5 in. and a diameter of 3 in. Maeva adds 25 spherical pieces of ice to the glass. The pieces of ice each have a diameter of 1.1 in.

How many cubic inches of water can Maeva add to fill the glass to the rim? Use 3.14 to approximate pi and round your answer to one decimal place.

___ in^3

Answer 1

Okay, we have to subtract the volume of the ice pieces from the volume of the cylinder glass.

Answer 2

Volume of a cylinder:

\(V = \pi r^2 h\)

Plug in what we know:

\(V = (3.14)(1.5^2)(5)\)

Simplify

Answer 3

1.5 times 1.5 = 2.25

Answer 4

3.14 times 2.25 times 5

Answer 5

35.325

Answer 6

is that my answer? 35.325? or would i simplify more?

Answer 7

No, now we have to find the volume of each spherical piece of ice:

\(V = \dfrac{4}{3} \pi r^3\)

Plug in what we know:

\(V = \dfrac{4}{3} (3.14) (0.55)^3\)

Simplify

Answer 8

0.55^3 = 0.166375

Answer 9

Yep

Answer 10

1.3333 times 3.14 times 0.166375

Answer 11

Yes^^

Answer 12

Multiply them

Answer 13

0.69653925275

Answer 14

Yes, that is the volume for each piece, and there are 25 pieces, multiply by 25.

Answer 15

17.4134813187

Answer 16

Yes, now subtract:

35.325 - 17.4134813187

Answer 17

That will be your answer.

Answer 18

17.9115186813

Answer 19

(It must be a decimal and consist of 3 numbers) So 17.9?

Answer 20

Yes, correct.

Answer 21

Alright cool. Thanks! :)

Answer 22

Np