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 1.75 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?

11.15 in3

11.22 in3

0.07 in3

33.67 in3

Answer 1

@jim_thompson5910 need some help :)

Answer 2

Alright the basic idea here is to find the volume of empty space inside the cone. How do we do this (any ideas)?

Answer 3

errr to find the volume of a cone you would use v=1/3pir^2h

Answer 4

you are correct

Answer 5

So the volume of the cone is ...???

Answer 6

Since we're "filling" a shape and looking in 3 dimensions, we have to find the volume of the two shapes. If you find the volume of the cone and subtract the volume of the ball from it, that's what's left to fill with ice.

Answer 7

b?

Answer 8

that's the volume of the cone...but...there's a small sphere inside the cone that doesn't count

Answer 9

So you have to subtract off that small bit of volume

Answer 10

a

Answer 11

good, you nailed it

Answer 12

right

Answer 13

A is the correct answer

Answer 14

thanks guys!

Answer 15

you're welcome

Answer 16

Ally is wearing a witch’s costume for Halloween. Her hat is in the shape of a cone with a diameter of 9 inches and a height of 14 inches. What is the volume of Ally’s hat? Use 22/7 for pi.

382 in3

297 in3

1,188 in3

891 in3

Answer 17

b?

Answer 18

you are correct

Answer 19

The funnel has a diameter of 1.38 inches that includes a wall that is 0.125 inches thick. What is the maximum volume of the funnel?

1.19 in3

1.78 in3

0.76 in3

3.57 in3

Answer 20

b ?

Answer 21

well if you're including the thickness of the cone, then B is correct

Answer 22

ugh i got it wrong:/

Answer 23

hmm well if you include the thickness, then you get 0.584833 roughly...but that's not an answer choice...one sec

Answer 24

oops meant exclude the thickness

Answer 25

yeah :( darn. its okay only one problem!

Answer 26

are you able to redo it?