Question

A snow cone is a tasty treat with flavored ice and a spherical bubble gum ball at the bottom: The radius of the cone is 1.25 inches, and its height is 2.75 inches. If the diameter of the bubble gum ball is 0.5 inches, what is the closest approximation of the volume of the cone that can be filled with flavored ice?
4.43 in3 0.07 in3 13.50 in3 4.50 in3

Answer 1

Do you know the volume formulas for a cone and sphere?

Answer 2

...no

Answer 3

Volume of Cone:

\[\Large V = \pi*r^2*h\]

Volume of Sphere:

\[\Large V = \frac{4}{3}\pi*r^3\]

Answer 4

where \(\Large \pi \approx 3.14\) (use more decimals of pi to get a more accurate volume)

Answer 5

So are you able to find the volume of the cone?

Answer 6

i would have to multiply 3.14x1.25^2x2.75 right?

Answer 7

correct

Answer 8

that will get you the approximate volume

Answer 9

ok 1 sec

Answer 10

that would make it c...13.50

Answer 11

now find the volume of the sphere

Answer 12

oh my bad

Answer 13

I wrote the wrong formula for the cone

Answer 14

The volume of a cone should be

\[\Large V = \frac{1}{3}\pi*r^2*h\]

so you take 1/3 of 13.50 to get the volume of the cone

Answer 15

4.5?

Answer 16

4.50*

Answer 17

roughly, yes, I'd say 4.497 roughly

Answer 18

how about the sphere?

Answer 19

4/3*3.14*.25^3

Answer 20

yes

Answer 21

what is the value approximately?

Answer 22

i got
0.06546875

Answer 23

looks good

Answer 24

so you now subtract

Answer = (Volume of Cone) - (Volume of sphere)

Answer 25

the answer you want is the leftover volume after you put the gumball in, which is why we're subtracting

Answer 26

approximately 4.43 so A' right?

Answer 27

correct

Answer 28

thank you so much!

Answer 29

yw, I'm glad to be of help