Volume

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the radius of a cylinder if you know the diameter?

Back

Radius (r) is half of the diameter (d): r = d/2.

Tags

CCSS.7.G.B.4

Front

What is the volume of a cylinder with a radius of 3 inches and a height of 7 inches?

Back

V = π(3)²(7) ≈ 197.92 cubic inches.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone?

Back

V = (1/3)πr²h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you convert diameter to radius?

Back

Divide the diameter by 2.

Tags

CCSS.7.G.B.4

Front

What is the volume of a cone with a radius of 2 inches and a height of 5 inches?

Back

V = (1/3)π(2)²(5) ≈ 20.94 cubic inches.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the difference between volume and surface area?

Back

Volume measures the space inside a 3D object, while surface area measures the total area of the object's surface.

Front

What units are used to measure volume?

Back

Common units include cubic centimeters (cm³), cubic meters (m³), liters (L), and gallons.

Tags

CCSS.3.MD.A.2

Front

How do you round a volume measurement to the nearest whole number?

Back

Look at the first decimal place: if it's 5 or more, round up; if it's less than 5, round down.

Tags

CCSS.5.NBT.A.4

Front

What is the volume of a rectangular prism with length 4 cm, width 3 cm, and height 5 cm?

Back

V = l × w × h = 4 × 3 × 5 = 60 cm³.

Tags

CCSS.7.G.B.6