Ice Cream & Party Hats
The volume of a cone that has a radius of 5 inches and a height of 12 inches. V= 3.14 x r2 x h/3
314 in3
The volume of a cylinder whose radius is 4 feet and whose height is 3 feet. V= 3.14 x r2 x h/3
150.70 ft3
What is the volume of a sphere with a radius of 5 ft?
V=4 x 3.14 x r3 / 3
523.3 ft3
What is the relationship between a cylinder and a cone?
A cylinder is 3 times larger than a cone
OR You can fit 3 cones into one cylinder.
The value of 4 cubed
64
You get a snow cone at the fair. The paper cone you get has an opening of 2 inches in diameter and is 5 inches tall. It is really hot outside and your snow cone melts! What is the approximate volume of the melted sugar water in your paper cone?
5.2 in3
What is the volume of a cylinder whose radius is 4.8 in and has a height of 14.7 in?
1063.5 in3
What is the volume of a sphere whose diameter is 8cm?
267.95 cm3
What is 43 - 22 ?
64-4 = 60
List the Order of Operations (not just the letters!)
PEMDAS:
Parentheses
Exponents
Multiplication/Division
and Addition/Subtraction
The volume of a cone whose height is 7.8mm and whose diameter is 6.4mm
83.60 mm
Bailey Middle School decides to start saving water by collecting rain in a barrel. The school buys a barrel 2 feet across and 3.5 feet tall. What is the total volume of rain that Emma Stone can collect?
10.99 ft3 = 11 ft3
Selena Gomez is out for a hike when she stumbles upon an asteroid that is half-imbedded in the ground. The asteroid is almost perfectly spherical and is 37 feet in diameter. What is the volume of Selena Gomez's asteroid?
26,508.4 ft3
Which sphere has the smaller volume?
Sphere A) r=3
Sphere B) r=5
Sphere A
The formula for finding the volume of a sphere.
4 x 3.14 x r3 / 3
You visit two ice cream shops, and both have delicious waffle cones. They both charge the same amount for the cones, but they are different sizes.
Shop A's cones are 3 inches in diameter and 8 inches tall.
Shop B's cones are 2.5 inches in diameter and 9 inches tall. Which shop gives you the better ice cream cone deal?
SHOP A
Disney has built a new cylindrical fish tank for the movie Nemo. The tank is 400 feet tall and 200 feet across. The Disney engineers fill the tank with salt water at a rate of 360,000 gallons per hour. How many hours will it take to fill the tank?
34.9 hours
In the summers, Michael Phelps runs an ice cream parlor in MA. Michael Phelps orders ice cream in cylindrical cartons that are 10 centimeters in diameter and 15 centimeters tall. He has 12 containers. How much ice cream does he have in total?
9,420 cm3 of ice cream
Cylinder A) r=2in , h=8in
Cylinder B) r=4in , h=6in
What is the difference in their volumes?
301.59-100.53 = 201.06 in3
c=5
What is the height of a cone whose volume is 307.72 cm and has a radius of 7 cm?
6 cm
Justin Bieber is playing outside when he discovers a cylindrical well with a diameter of 10 feet. Someone tells Justin that the well can hold a volume of 980 ft3. How tall is the well?
Height = 12.5 ft
What is the radius of a sphere whose volume is 113.04 ft3.
3 ft
A) What is the opposite of cubing a number?
B) What is the opposite of multiplication?
A) Cubed root
B) Division
What number is spelled with the same amount of letters as its meaning?