Volume: Cylinders, Cones, & Spheres

Front

What is the formula for the volume of a sphere?

Back

The volume 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

What is the volume of a cylinder?

Back

The volume of a cylinder is calculated using 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 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

If the radius of a sphere is 5 m, what is its volume?

Back

Using the formula V = (4/3)πr³, the volume is approximately 523.6 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is π (pi) approximately equal to?

Back

π (pi) is approximately equal to 3.14.

Tags

CCSS.HSG.GMD.A.1

Front

How do you find the volume of a cylinder with a radius of 3 cm and a height of 10 cm?

Back

Using the formula V = πr²h, the volume is approximately 94.2 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Using the formula V = (1/3)πr²h, the volume is approximately 12.57 cm³.

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

Front

If a sphere has a volume of 904.32 ft³, what is its radius?

Back

Using the formula V = (4/3)πr³, the radius can be calculated to be approximately 6.2 ft.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a diameter of 4 m and a height of 5 m?

Back

First, find the radius (2 m). Then, V = π(2)²(5) = 20π ≈ 62.83 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3