Question

Ray is late for work, but would like to drink some coffee before he leaves. The coffee in the pot is too hot, so Ray puts 20 small ice cubes in a mug before pouring in the coffee. The ice cubes measure 1 cm per side. The mug is cylindrical, and has a height of 9 cm and a base of 7 cm. What is volume of the coffee that will fill the mug after the ice cubes have been added (round to the nearest whole number)?

A) 113 cm3.
B) 326 cm3.
C) 346 cm3.
D) 424 cm3.

Answer 1

the answer is 424 cm3

Answer 2

326 cubic cm.

Explanation:

Side of cube = 1 cm

Volume of each ice cube =
`side^3`

=
`(1)^3`

=
`1 cm^3`

Since there are 20 cubes

So, volume of 20 cubes =
`20 * 1 cm^3`

=
`20 cm^3`

Now Height of mug is 9 cm

Diameter of Mug = 7 cm

Radius of mug =
`(Diameter)/(2)=(7)/(2)=3.5 cm`

Mug is in the shape of cylinder .

Volume of Mug =
`\pi r^(2) h`

=
`3.14 * (3.5)^(2)* 9`

=
`346.185`

We are given that Ray puts 20 small ice cubes in a mug before pouring in the coffee.

So, the volume of the coffee that will fill the mug after the ice cubes have been added :

`\text{Volume of mug}- \text{Volume of ice cubes}`

`346.185- 20`

`326.185`

Thus Volume of cube that will fill the mug after the ice have been added is 326 cubic cm.

Option B is correct.