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Math Potpourri
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100

What is the volume of a cylinder with a radius of 5cm and a height of 10cm?

250π 

100

The volume of a cylinder whose radius is 4 feet and whose height is 3 feet.

48π 

100

The volume of a sphere with a radius of 3 feet.

108π 

100

what is the volume of cylinder of radius 8 and height 10 cm

640π

100

what is the volume of a cylinder of radius 4 and height 12 cm

192π

200

The volume of a sphere with a radius of 6 feet.

288π 

200

The volume of a cylinder whose radius is 4 inches and has a height of 12 inches.

192π 

200

The volume of a sphere whose diameter is 12 cm.

2304π 

200

what is the volume of cone of radius 3 and height 6

18π 

200

what is the volume of cone of radius 5 and height 9

75π 

300

what is the volume of sphere of radius 15

4500π 

300

what is the volume of cone of radius 3 and height 9

27π 

300

what is the volume of cone of radius 6 and height 3

36π 

300

Solve the equation: 7x - 6 = 8

x = 2

300

this equation has how many answers 𝑎 − 4 = 3𝑎 + 8 

one solution

400

solve this equation 12𝑏 + 18 = 5𝑏 + 4

-2
400

solve : 5𝑐 − 33 = 9 − 𝑐

7

400

solve : 𝑑 + 8 = 12 + 2𝑑

4

400

5𝑤 − 13 = 11 − 3𝑤

3

400

A 9,000-gallon silo of wheat is being drained at a rate of 500 gallons per hour. 

A 7,000-gallon silo of wheat is being filled at a rate of 500 gallons per hour.

After how many hours will the silos have the same amount of wheat?

2

500

solve –9 + 2(n + 3) = 4n – 7

-5
500

6(r + 5) – 3 = 2r + 7

-5
500

20c-5 = 195

10

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?

5

500

how many solutions for this equation: 

−12𝑤 + 15 = 2(−6𝑤 + 9) − 3

many solutions