Volume of Cylinders, Cones, Spheres

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 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

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

If the radius of a cylinder is 3 cm and the height is 10 cm, what is the volume?

Back

283 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What shape has a circular base and tapers to a point?

Back

Cone

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Front

What shape has two parallel circular bases?

Back

Cylinder

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Front

What is the volume of a cone with a diameter of 8 feet and a height of 3 feet?

Back

50.24 ft³

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)³ = 523.6 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the height of a cylinder if the volume is 200 cm³ and the radius is 4 cm?

Back

Height = 200 / (π (4)²) = 12.5 cm

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between the radius and diameter of a circle?

Back

Diameter = 2 × Radius

Tags

CCSS.7.G.B.4