Volume and Surface Area of Cylinders

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 does π (pi) approximate to in calculations?

Back

π is approximately 3.14.

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CCSS.HSG.GMD.A.1

Front

How do you calculate the surface area of a cylinder?

Back

Surface Area = 2πr(h + r), where r is the radius and h is the height.

Front

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

Back

Diameter = 2 × Radius.

Tags

CCSS.7.G.B.4

Front

If a cylinder has a radius of 5 cm and a height of 10 cm, what is its volume?

Back

Volume = π(5 cm)²(10 cm) = 250π cm³ ≈ 785 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a height of 7 cm and a radius of 3 cm?

Back

Volume = π(3 cm)²(7 cm) = 63π cm³ ≈ 197.82 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you convert the volume of a cylinder from cm³ to liters?

Back

1 liter = 1000 cm³, so divide the volume in cm³ by 1000.

Tags

CCSS.5.MD.A.1

Front

What is the volume of a cylinder with a height of 10 cm and a radius of 4 cm?

Back

Volume = π(4 cm)²(10 cm) = 160π cm³ ≈ 502.65 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a cylinder has a volume of 1000 cm³ and a height of 10 cm, what is the radius?

Back

Radius = √(Volume / (πh)) = √(1000 / (π × 10)) ≈ 5.64 cm.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the surface area of a cylinder with a radius of 2 cm and a height of 5 cm?

Back

Surface Area = 2π(2 cm)(5 cm + 2 cm) = 28π cm² ≈ 87.96 cm².