Volume of Cylinders, Cones, & Spheres

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius 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

Volume = (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

What is the formula for the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If the radius of a cylinder is 2 ft and the height is 5 ft, what is its volume using π = 3.14?

Back

Volume = 3.14 * (2)² * 5 = 62.8 ft³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

Calculate the volume of a cone with a radius of 3 cm and a height of 4 cm using π = 3.14.

Back

Volume = (1/3) * 3.14 * (3)² * 4 = 37.68 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a sphere with a radius of 5 m using π = 3.14?

Back

Volume = (4/3) * 3.14 * (5)³ = 523.33 m³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How does the volume of a cone compare to the volume of a cylinder with the same base and height?

Back

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the approximate volume of a cylinder with a radius of 3 inches and a height of 10 inches using π = 3.14?

Back

Volume = 3.14 * (3)² * 10 = 94.2 in³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a sphere has a volume of 904.32 cm³, what is its radius?

Back

Radius = (3 * Volume / (4 * π))^(1/3) = 6 cm.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

The volume increases with the cube of the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3