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.
3. 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.
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
4. 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
