Find the Volume of the Cone Mixed Practice

Front

What is the formula for the volume of a cone?

Back

The volume V of a cone is given by the formula 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

What does the term 'slant height' refer to in a cone?

Back

The slant height of a cone is the distance from the base of the cone to the apex along the side of the cone.

Front

If a cone has a radius of 3 mm and a height of 9 mm, what is its volume?

Back

The volume is 84.8 mm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you round a number to the nearest tenth?

Back

To round to the nearest tenth, look at the hundredths place. If it's 5 or more, round up; if it's less than 5, round down.

Tags

CCSS.3.NBT.A.1

CCSS.4.NBT.A.3

Front

What is the value of π (pi) used in volume calculations?

Back

In volume calculations, π is often approximated as 3.14.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a radius of 12 ft and a height of 8 ft?

Back

The volume is 1205.8 ft³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

The radius is half of the diameter. So, radius = diameter / 2.

Tags

CCSS.7.G.B.4

Front

What is the significance of rounding in volume calculations?

Back

Rounding is important to provide a concise answer and to reflect the precision of measurements.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

If a cone has a diameter of 6 cm, what is its radius?

Back

The radius is 3 cm.

Tags

CCSS.7.G.B.4

Front

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

Back

The volume is 261.67 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3