Volume of Cylinders, Cones, Spheres

Front

What is the formula for the volume of a sphere?

Back

The volume V of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a cone?

Back

The volume V of a cone is calculated using the formula V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is 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 of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a sphere has a radius of 5 cm, what is its volume?

Back

Using the formula V = (4/3)πr³, the volume of a sphere with a radius of 5 cm is approximately 523.6 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a radius of 4 cm and a height of 9 cm?

Back

Using the formula V = (1/3)πr²h, the volume of the cone is 48π cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

To round the volume of a cone to the nearest tenth, look at the hundredths place. If it is 5 or more, round up; if it is less than 5, round down.

Tags

CCSS.7.EE.B.3

Front

What is the relationship between the radius and volume of a sphere?

Back

The volume of a sphere increases with the cube of the radius, meaning if the radius doubles, the volume increases by a factor of eight.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What units are used to measure volume?

Back

Volume is typically measured in cubic units, such as cubic centimeters (cm³), cubic inches (in³), cubic yards (yd³), etc.

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CCSS.3.MD.A.2

Front

How can you find the volume of a composite shape that includes a cylinder and a cone?

Back

To find the volume of a composite shape, calculate the volume of each individual shape using their respective formulas and then sum the volumes.

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CCSS.5.MD.C.5C

Front

What is the significance of π in volume calculations?

Back

π (pi) is a mathematical constant approximately equal to 3.14159, and it is essential in calculations involving circles and spheres.

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CCSS.HSG.GMD.A.1