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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

4. Volumes of Prisms and Cylinders

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Exercise 17 Page 835

Use the formula for the volume of a cylinder.

407.2 cm^3

Practice makes perfect

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 are given the diameter of the cylinder. Let's recall the relation between the diameter and radius of a circle. d=2r We can substitute the diameter into the formula and calculate r.

d = 2r

d= 12

12 = 2r

.LHS /2.=.RHS /2.

6 = r

Rearrange equation

r = 6

Next, let's substitute the radius and height of the cylinder into the appropriate formula and calculate the volume of the cylinder.

V=π r^2 h

r= 6, h= 3.6

V=π ( 6)^2 ( 3.6)

▼

Simplify right-hand side

Calculate power

V=π( 36)( 3.6)

Multiply

V=129.6π

Use a calculator

V=407.1504079...

Round to 1 decimal place(s)

V≈ 407.2

The approximate volume of the given cylinder is 407.2 cm^3.

Subchapter links

Exercises p.834-838