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Big Ideas Math: Modeling Real Life, Grade 8

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Big Ideas Math: Modeling Real Life, Grade 8 View details

Practice Test

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Exercise 1 Page 458

Use the formula for the volume of a cylinder.

12000π ≈ 37699.1 mm^3

The given solid is a cylinder.

The volume of a cylinder with the radius r and height h can be calculated by the following formula. V=π r^2 h We can calculate V by substituting r with 20 and h with 30.

V=π r^2 h

r= 20, h= 30

V=π ( 20)^2 ( 30)

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Simplify right-hand side

Calculate power

V=π( 400)( 30)

Multiply

V=12000π

Use a calculator

V=37699.111843...

Round to 1 decimal place(s)

V≈ 37699.1

The exact volume of of the given cylinder is 12000π mm^3. The answer rounded to the nearest tenth is 37699.1 mm^3.

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