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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.

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.



How long will it take to fill the cone?

Use 3.14 to approximate pi.



min

Sagot :

Apologiabiologyidn
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
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