Volume of Cylinders, Cones, Spheres & Hemispheres Next Level

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.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a hemisphere?

Back

The volume V of a hemisphere is given by the formula V = (2/3)πr³, where r is the radius of the hemisphere.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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 and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find 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

If a sphere has a radius of 3 cm, what is its volume?

Back

Using the formula V = (4/3)πr³, the volume is approximately 113.1 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a radius of 4 inches and a height of 10 inches?

Back

Using the formula V = πr²h, the volume is approximately 502.7 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you convert cubic inches to cubic centimeters?

Back

To convert cubic inches to cubic centimeters, multiply by 16.387.

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CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

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

Back

Using the formula V = (1/3)πr²h, the volume is approximately 13.3 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a hemisphere has a radius of 6 m, what is its volume?

Back

Using the formula V = (2/3)πr³, the volume is approximately 226.9 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

The volume of the cone is one-third the volume of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3