1.

  1. A volcanic plug shaped like a cone has a diameter of 24 km and a height of 3 km.

What is the volume of the plug?


Use 3.14 to approximate pi, and express your final answer in hundredths.


_____ km3


2.

Ellie’s bird feeder is shaped like a cone with a height of 24 in. and a radius of 3 in. Packages of bird seed are cylindrical and come in different sizes.


What is the height of the package that has a radius of 6 in. and contains exactly enough bird seed to fill the feeder?

Use 3.14 to approximate pi.

_____ in.

  1. Dosha is creating a new dessert that has two layers shaped like cones. The inner cone is frozen ice cream and has a diameter of 12 cm and a height of 6 cm. The outer layer is a thin wafer shell, like an upside-down ice cream cone, with a height of 15 cm and the same diameter as the inner layer. Dosha will inject a cream filling into the space.

What is the volume of the cream filling?

Use 3.14 to approximate pi and express your final answer in hundredths.


____cm3


5.

A hose dispenses 1413 cm3 of water every minute into a cone with a radius of 60 cm and a height of 150 cm.




How long will it take to fill the cone?


Use 3.14 to approximate pi.




min

Verified Answer :

first
Volume=height times 1/3 times area of base
area of base=pi times radius^2
(radius^2=radius times radius)
volume=height times 1/3 times pi times radius^2

1.
diameter=2radius
24=2radius
12=radius
subsitute
vollume=3 times 1/3 times 3.14 times 12^2
volume=452.16 km^3

2.
find volume of bird feeder
volume=24 times 1/3 times 3.14 times 3^2
volume=226.08
then other one
volume is same so
226.08=heigh times 1/3 times 3.14 times 6^2
226.08=37.68 times height
divide both sides by 37.68
6=height
6 inches

3.

find volume of inner and outer cone then subtract then the creaam is the differance
diameter=12
radius=1/2 diameter=6
volume of nner cone=6 times 1/3 time 3.14 times 6^2
volume of inner cone=226.08
volume of outer cone=6 times 1/3 times 3.14 times 15^2
volume of outer cone=1413
subtract
1413-226.08=1186.92
volume of inner cream filling is 1186.92 cm^3

  1. there is none, you skipped to 5.

5.

find volume of cone
volume=150 times 1/3 times 3.14 times 60^2
vollume=565,200
divide this nummber by 1413
565,200/1413=400
the answe ris 400 minutes

ANSWERS

  1. 452.16 km^3
  2. 6 in
  3. 1186.92 cm^3
  4. no question
  5. 400 min