Volume of Cylinders and Cones

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is given by the formula: V = 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

The volume of a cone is given by the formula: 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 radius of a cylinder if you know the diameter?

Back

The radius is half of the diameter. If the diameter is d, then the radius r = d/2.

Tags

CCSS.7.G.B.4

Front

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

Back

The volume of a cone is one-third the volume of a cylinder with the same base and height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

V = π(3 cm)²(10 cm) = 90π cm³ ≈ 282.74 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a diameter of 8 feet and a height of 7 feet?

Back

V = π(4 ft)²(7 ft) = 112π ft³ ≈ 351.9 ft³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of a cylinder in cubic centimeters?

Back

Use the formula V = πr²h, ensuring that r and h are in centimeters.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a height of 6 cm and a radius of 5 cm?

Back

V = (1/3)π(5 cm)²(6 cm) = 50π cm³ ≈ 157.08 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cylinder has a volume of 3004 cm³ and a diameter of 15 cm, what is its height?

Back

Height h = V / (πr²) = 3004 cm³ / (π(7.5 cm)²) ≈ 17 cm.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the total volume of multiple identical cylinders?

Back

Multiply the volume of one cylinder by the number of cylinders.

Tags

CCSS.5.MD.C.5C