Volume of Cones, Pyramids, and Spheres

Front

What is the formula for the volume of a cone?

Back

V = (1/3)πr²h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a rectangular pyramid?

Back

V = (1/3)LWH

Tags

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a cylinder?

Back

V = πr²h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the value of π (pi) approximately?

Back

π ≈ 3.14

Tags

CCSS.HSG.GMD.A.1

Front

If a cone has a radius of 3 inches and a height of 5 inches, what is its volume?

Back

V = (1/3)π(3)²(5) = 15π ≈ 47.12 in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a sphere with a radius of 7 inches?

Back

V = (4/3)π(7)³ = 1436.76 in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the volume of a cone with a height of 10 cm and a radius of 4 cm?

Back

V = (1/3)π(4)²(10) = (1/3)π(16)(10) = 53.33π ≈ 167.55 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of the cone is 1/3 the volume of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a pyramid with a base area of 20 cm² and a height of 9 cm?

Back

V = (1/3) × base area × height = (1/3) × 20 × 9 = 60 cm³

Tags

CCSS.HSG.GMD.A.3