An ice cream cone is filled with vanilla and chocolate ice cream at a ratio of 2:1. If the diameter of the cone is 2 inches and

Question

Kazeer [188]

3 years ago

11

An ice cream cone is filled with vanilla and chocolate ice cream at a ratio of 2:1. If the diameter of the cone is 2 inches and

the height is 6 inches, what is the volume of vanilla ice cream in the cone? (round to nearest tenth)

Mathematics

2 answers:

Marina86 [1] · Answer 1 · 2022-02-03T20:07:48+03:00

<span>An ice cream cone is filled with vanilla and chocolate ice cream at a ratio of 2:1. If the diameter of the cone is 2 inches and the height is 6 inches, what is the volume of vanilla ice cream in the cone? (round to nearest tenth)
----
Total volume = pi*r^2*h = pi*1^2*6 = 6pi in^2
---------------------
Equation:
2x + x = 6pi

3x = 6pi
x = 2pi (chocolate volume)
2x = 4pi (vanilla volume)
</span>

Sophie [7] · Answer 2 · 2022-02-03T18:24:23+03:00

Sophie [7]3 years ago

3 0

Volume of cone=(1/3)hpir^2

d/2=r
d=2
d/2=2/2=1=r
h=6

V=(1/3)6pi1^2
V=2pi in^3 is volume

ratio of 2:1

2+1=3
2pi=3 units
divide both sides by 3
2/3pi=1 unit

vanila=2 units
times 2/3pi by 2
4/3pi
aprox pi=3.141592
4.188
round
4.2 in^3 of vanilla