Volume of Cone

Front

What is the formula for the volume of a cone?

Back

V = (1/3)π r²h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If the radius of a cone is 10 inches and the height is 25 inches, what is the volume?

Back

2616.7 in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If the radius of a cone is 12 feet and the height is 8 feet, what is the volume?

Back

1205.8 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Calculate the volume of a cone with a radius of 6 inches and a height of 15 inches.

Back

565.2 in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What does π (pi) represent in the volume formula of a cone?

Back

π is a constant approximately equal to 3.14, used to calculate the area of circles.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you round a decimal to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up.

Tags

CCSS.5.NBT.A.4

Front

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

Back

V = (1/3)π(5²)(10) = 83.3 cm³ (using π ≈ 3.14)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between the radius and height in the volume formula of a cone?

Back

Both radius and height are used to calculate the volume, with the radius squared and multiplied by height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cone has a volume of 1500 cm³, what could be its possible dimensions?

Back

Possible dimensions could be radius = 10 cm and height = 15 cm, or other combinations that satisfy V = (1/3)π r²h.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the significance of the factor (1/3) in the volume formula of a cone?

Back

It accounts for the fact that a cone occupies one-third the volume of a cylinder with the same base and height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3