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Big Ideas Math: Modeling Real Life, Grade 8

BI

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

Chapter Review

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Exercise 1 Page 455

Use the formula for the volume of a cylinder.

1237.0 ft^3

Practice makes perfect

The given solid is a cylinder.

We can calculate the volume of a cylinder with the radius r and height h using the following formula. V=π r^2 h First we find the radius of the cylinder by dividing the diameter by 2. r=15/2= 7.5 Now we can get V by substituting the value of the radius and the height into the formula.

V=π r^2 h

r= 7.5, h= 7

V=π ( 7.5)^2 ( 7)

▼

Simplify right-hand side

Calculate power

V=π(56.25)(7)

Multiply

V=393.75π

Use a calculator

V=1237.002107...

Round to 1 decimal place(s)

V≈ 1237.0

The approximate volume of the given cylinder is 1237.0 cubic feet.

Subchapter links

1 Volumes of Cylinders p.455

2 Volumes of Cones p.456

3 Volumes of Spheres p.456-457

4 Surface Areas and Volumes of Similar Solids p.457