Question

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The radius of the cone is 1.75 inches, and its height is 3.5 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?

Answer 1

hmmm
that would be (Volume of Cone) minus (Volume of bubble gum ball)

(volume of cone) = (1/3)(pi) r^2 h
(volume of sphere) = (4/3)(pi) r^3

Answer 2

\[\frac{1}{3}\pi (1.75)^2(3.5)-\frac{4}{3}\pi (.25)^3\]

Answer 3

So what steps do I take to solve this, instead of just giving me a formula?

Answer 4

Find the volume of the cone and subtract the volume of the ball

Answer 5

so uh pi x 3.5 then take one third from that?

Answer 6

yes and then multiply by the radius squared.

Answer 7

so it comes to be 10.9955 rounded is 11 and take 1 third of it

Answer 8

11/3

Answer 9

which is 3.6 roughly, do I round it? since it's 3.666666666666667

Answer 10

@Mertsj

Answer 11

\[\frac{1}{3} \pi (1.75)^2(3.5)\]
\[\frac{1}{3} \pi (3.0625)(3.5)\]

Answer 12

\[\frac{1}{3}\pi (10.71875)\]

Answer 13

\[\frac{1}{3}(3.14)(10.71875)\]

Answer 14

\[\frac{1}{3}(33.656875)=11.22\]

Answer 15

Oh

Answer 16

No subtract the volume of the ball from that.

Answer 17

Okay so its .25^2 which is 0.015625 now i take 4/3 from it?

Answer 18

no wait multiply it by pi first then take 4/3

Answer 19

\[\frac{4}{3}\pi (.25)^3\]

Answer 20

\[\frac{4}{3}\pi (.015625)\]
\[\frac{4}{3}(3.14)(.015625\]

Answer 21

so it would be 0.0490873582..... divided by 4/3?

Answer 22

\[1.3333)(3.14)(.015625)=.065\]

Answer 23

it should be 1.3333333333333.....etc

Answer 24

oh

Answer 25

so now 11.22 - .065?

Answer 26

11.155?

Answer 27

yes