Volume of Cones, Cylinders, and Spheres Review

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

Calculate the volume of a sphere with a radius of 5 cm.

Back

V = (4/3)π(5)³ = 523.6 cm³.

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

Calculate the volume of a cylinder with a radius of 3 cm and a height of 10 cm.

Back

V = π(3)²(10) = 282.7 cm³.

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 and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Calculate the volume of a cone with a radius of 4 cm and a height of 9 cm.

Back

V = (1/3)π(4)²(9) = 150.8 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 diameter of 10 cm, what is its radius?

Back

The radius is half of the diameter, so the radius is 5 cm.

Tags

CCSS.7.G.B.4

Front

What is the approximate volume of a sphere with a radius of 6 inches?

Back

V = (4/3)π(6)³ ≈ 904.3 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you convert the diameter of a cylinder to its radius?

Back

The radius is half of the diameter.

Tags

CCSS.7.G.B.4