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Glencoe Math: Course 3, Volume 2

GM

Glencoe Math: Course 3, Volume 2 View details

2. Volume of Cones

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Exercise 35 Page 604

Recall the formula for the volume of a cylinder.

Approximately 1025.4 cm^3

Practice makes perfect

A cylinder has a diameter of 16 centimeters and a height of 5.1 meters. Let's start by drawing it.

The volume of a cylinder with the radius r and height h can be calculated by the following formula. V=π r^2 h Here, r is the radius and h is the height. We are given that the diameter d is 16. To find its radius we can divide d by 2.

r = d/2

d= 16

r = 16/2

Calculate quotient

r = 8

We have enough information to find the volume of the cylinder.

V=π r^2 h

r= 8, h= 5.1

V=π ( 8)^2 ( 5.1)

▼

Evaluate right-hand side

Calculate power

V=π( 64)( 5.1)

Multiply

V= π (326.4)

Use a calculator

V= 1025.415842...

Round to 1 decimal place(s)

V≈ 1025.4

The approximate volume of the given cylinder is 1025.4 cubic centimeters.

Subchapter links

Guided Practice p.600

Independent Practice p.601-602

H.O.T. Problems p.602

Standardized Test Practice p.602-604

Extra Practice p.603

Common Core Review p.604