Volume of Prisms, Pyramids, Spheres, Cones and Cylinders

Front

What is the formula for the volume of a cylinder?

Back

V = π r² h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of an object?

Back

The amount of space an object occupies, measured in cubic units.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What is the formula for the volume of a cone?

Back

V = ⅓ π r² h

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 5 cm.

Back

V = π (3 cm)² (5 cm) = 45π cm³ ≈ 141.37 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a prism?

Back

V = B × h, where B is the area of the base and h is the height.

Tags

CCSS.7.G.B.6

Front

What is the formula for the volume of a pyramid?

Back

V = ⅓ B × h, where B is the area of the base and h is the height.

Tags

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a sphere?

Back

V = ⅖ π r³

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 = ⅓ π (4 cm)² (9 cm) = 48π cm³ ≈ 150.8 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a height of 10 cm and a radius of 2 cm?

Back

V = π (2 cm)² (10 cm) = 40π cm³ ≈ 125.66 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 cm?

Back

V = ⅖ π (5 cm)³ = ⅖ π (125 cm³) = 500/3 π cm³ ≈ 523.6 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3