Intro to Volume of Cylinders

Tina curled an 8 inch by 10 inch rectangular piece of paper along one of its sides to form an open cylinder with a height of 10 inches. Which measure of the cylinder will be 8 inches?

• The radius of the base

• The diameter of the base

• The area of the base

• The circumference of the base

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CCSS.6.G.A.4

What is the volume of the cylinder below? Use 3.14 for (pi) and round to the nearest tenth.

• 464.8 cm³

• 729.7 cm³

• 1,234.8 cm³

• 1,459.3 cm³

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Aiden evaluated the expression π(16)(12) to find the volume of a cylinder. What could be dimensions of the cylinder?

• The height is 12 cm, and the diameter of the base is 8 cm.

• The height is 12 cm, and the area of the base is 16 cm².

• The height is 16 cm, and the diameter of the base is 6 cm.

• The height is 16 cm, and the area of the base is 12 cm².

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the radius of the base of the cylinder?

(a)   inches

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CCSS.7.G.B.4

What is the volume of the figure?

• V=112π m^3

• V=224π m^3

• V=784π m^3

• V=896π m^3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the area of the base in the figure?

• 9 square units

• 9π square units

• 72 square units

• 72π square units

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CCSS.7.G.B.4

What is the volume of a cylinder with a height of 10 inches if the area of its base is 40 square inches?

• 400 in³

• 1256 in³

• 4000 in³

• 12,560 in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the volume, to the nearest whole cubic inch, of a cylinder with a height of 10 inches and a radius of 8 inches? Use π=3.14 and round your answer to the whole number.

(a)   cubic inches

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Mia is calculating the volume of the cylinder and her work is shown. What was Mia's first error?

• She confused the height and the diameter.

• She forgot to include pi as a factor in the volume expression.

• She applied the exponent before multiplying 17.5 and 47.

• She squared 17.5 instead of 35.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What measures of the cylinder do 12 and 42 describe?

• radius and diameter

• radius and height

• diameter and height

• diameter and area of basee