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Big Ideas Math: Modeling Real Life, Grade 8

BI

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

2. Volumes of Cones

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Exercise 1 Page 437

Use the formula for the volume of a cylinder.

≈ 197.9 cm^3

Practice makes perfect

We want to find the volume of the given cylinder.

The volume of a cylinder with radius r and height h can be calculated by the following formula. V= B h Here, B is the area of the base. Since the base is a circle, the area of the base will be equal to π r^2. V= π r^2 h We are given that the radius is 3 centimeters and the height is 7 centimeters. Let's substitute these values into the formula and calculate V.

V=π r^2 h

r= 3, h= 7

V=π ( 3)^2 ( 7)

▼

Evaluate right-hand side

Calculate power

V=π( 9)( 7)

Multiply

V=63π

Use a calculator

V=197.920337...

Round to 1 decimal place(s)

V≈ 197.9

The approximate volume of the given cylinder is about 197.9 cubic centimeters.

Subchapter links

Try It p.434-435

Self-Assessment for Concepts & Skills p.435

Self-Assessment for Problem Solving p.436

Review & Refresh p.437

Concepts, Skills, & Problem Solving p.437-438