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Math Potpourri
(Could be Anything!)
100
The volume of a cone that has a radius of 5 inches and a height of 12 inches. V= 1/3πr^2h
What is 314 inches cubed?
100
The volume of a cylinder whose radius is 4 feet and whose height is 3 feet. V= πr^2h
What is 150.72 ft cubed?
100
The volume of a sphere with a radius of 5 feet. V=4/3πr^3
What is 523.3 feet?
100

Write 0.000048 in scientific notation.

4.8 x 10^-5

100
The value of 4 cubed
What is 64?
200
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?
What is 5.2 inches cubed?
200
The volume of a cylinder whose radius is 4.8 inches and has a height of 14.7 inches.
What is 1063.48 cubic inches?
200
The volume of a sphere whose diameter is 8cm.
What is 267.95 cubic centimeters?
200
Solve: 15 less than the product of 8 and 9.
What is 57?
200

A line has a slope of -2/3 and a y-intercept of 4. What is the equation for the line in slope-intercept form?

y = -2/3x + 4

300
The volume of a cone whose height is 7.8mm and whose diameter is 6.4mm
What is 83.60?
300
Emma Stone decides to start saving water by collecting rain in a barrel. Emma Stone buys a barrel 2 feet across and 3.5 feet tall. What is the total volume of rain that Emma Stone can collect?
What is 10.99 cubic feet?
300

Selena Gomez is out for a hike when she stumbles upon an asteroid 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?

What is 26508.4 cubic feet?

300
Solve the equation: 3(2n-5)=10n-3
What is n=-3?
300

A line has points at (0,4) and (5,2). What is the slope of the line?

Slope (m) = -2/5

400

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 more ice cream?

What is Shop A?

400

Disney has built a new cylindrical office building at its headquarters in Burbank, California. Given that the tower is 400 feet tall and 200 feet across, what is the volume of the office building? 

What is 12,560,000 cubic feet?

400

The globe of the Moon has a diameter of 20 inches. Find the volume using 3.14 for pi and round to the nearest hundredth if necessary.

4186.67 inches^3

400
The population of Glendale is about 4.8x10^3. The population of Oakwood is about 7.2x10^4. About how many times larger is Oakwood than Glendale?
What is 15 times larger?
400

Solve the system of equations using the Elimination Method. Write your solution as a point (x,y).

3x + 2y = 9

2x + 6y = 6

(3,0)

500
This is the height of a cone whose volume is 307.72 centimeters and has a radius of 7 centimeters.
What is 6 centimeters?
500

Bruce Wayne is playing outside when he discovers a cylindrical well about 5 feet across. Bruce is not sure how deep it is, so he decides to get a hose and fill it up. Bruce's hose can deliver 100 cubic feet of water every hour. About how many vertical feet would Bruce fill in one hour? Round to the nearest whole number.

What is a height of 5ft?

500
This is the radius of a sphere whose volume is 113.04 ft cubed.
What is 3 feet?
500
A gym membership at gym A charges an initial fee of $100 and then a $25 fee every month. Gym B charges a flat fee of $45 every month. After how many months will the cost for both memberships be the same?
What is 5 months?
500
Do the side lengths of 48 cm, 73 cm, and 55 cm make a right triangle? Explain how you know.

Yes, they do. 48 squared plus 55 squared is equal to 73 squared. This is a Pythagorean Triple.

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