Volume of cylinders, Cones and Spheres

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the height of a cylinder if you know the volume and radius?

Back

Rearrange the formula: h = V / (πr²).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a cone?

Back

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

How do you find the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between diameter and radius?

Back

The radius is half of the diameter: r = d/2.

Tags

CCSS.7.G.B.4

Front

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

Back

Divide the diameter by 2.

Tags

CCSS.7.G.B.4

Front

What is the volume of a cylinder with a radius of 8 yd and a height of 2 yd?

Back

V = π(8)²(2) = 128π yd³, approximately 402.12 yd³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

V = (1/3)π(3)²(5) = 15π cm³, approximately 47.12 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a sphere with a radius of 6 ft?

Back

V = (4/3)π(6)³ = 288π ft³, approximately 904.32 ft³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the significance of rounding answers in volume calculations?

Back

Rounding is important for precision and clarity, especially in practical applications.

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2