Volume: Cylinders, Cones, & Spheres

Front

What is the formula for the volume of a cylinder?

Back

Volume = 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

Volume = (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

What is the formula for the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

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

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

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the approximate value of π used in calculations?

Back

3.14.

Tags

CCSS.HSG.GMD.A.1

Front

How do you round a number to the nearest hundredth?

Back

Look at the third decimal place; if it's 5 or more, round up.

Tags

CCSS.5.NBT.A.4

Front

What is the volume of a cylinder with a radius of 5 ft and a height of 10 ft?

Back

Volume = π(5)²(10) = 250π ≈ 785.4 ft³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a radius of 4 cm and a height of 9 cm?

Back

Volume = (1/3)π(4)²(9) = 48π ≈ 150.8 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

Volume = (4/3)π(6)³ = 288π ≈ 904.32 ft³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

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

Back

Volume = (1/3)π(3)²(5) = 15π ≈ 47.1 mm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3