Volume of Cones and Cylinders

Front

What is the formula for the volume of a cylinder?

Back

The volume V of a cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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 of the base and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

Using the formula V = πr²h, V = π(3)²(5) = 45π cm³, approximately 141.37 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a cone with a radius of 3 cm and a height of 5 cm?

Back

Using the formula V = (1/3)πr²h, V = (1/3)π(3)²(5) = 15π cm³, approximately 47.12 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

The value of π (Pi) is approximately 3.14.

Tags

CCSS.HSG.GMD.A.1

Front

If a cylinder has a radius of 4 cm and a height of 10 cm, what is its volume?

Back

Using the formula V = πr²h, V = π(4)²(10) = 160π cm³, approximately 502.65 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of the cone is one-third the volume of the cylinder with the same base and height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you round the volume of a figure to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up the tenths place by one. If it's less than 5, keep the tenths place the same.

Tags

CCSS.5.NBT.A.4

Front

What is the volume of a cylinder with a radius of 2 ft and a height of 6 ft?

Back

Using the formula V = πr²h, V = π(2)²(6) = 24π ft³, approximately 75.40 ft³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a radius of 2 ft and a height of 6 ft?

Back

Using the formula V = (1/3)πr²h, V = (1/3)π(2)²(6) = 8π ft³, approximately 25.13 ft³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3