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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 7 Page 834

Use the formula for the volume of a cylinder.

1025.4 cm^3

Practice makes perfect

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 do not know the radius of the cylinder, but we are given its diameter. We know that the diameter is twice the length of the radius. d = 2r The radius is therefore 8cm. Since we are given the height of the cylinder, we can substitute the values into the formula and calculate V.

V=π r^2 h

r= 8, h= 5.1

V=π ( 8)^2 ( 5.1)

▼

Simplify right-hand side

Calculate power

V=π( 64)(5.1)

Multiply

V=326.4π

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 cm^3.

Subchapter links

Exercises p.834-838