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

1. Volumes of Cylinders

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Exercise 16 Page 431

Use the formula for the volume of a cylinder.

281.25π cubic meters or 883.6 cubic meters

Practice makes perfect

We are given the following cylinder and we want to find the value of its volume.

The volume of a cylinder with the radius r and height h can be calculated by the following formula. V=π r^2 h Since we are given the diameter of the cylinder, we know that the radius of the cylinder is the half of the diameter. r = diameter/2 ⇒ r=15/2=7.5 Here, we find that r=7.5 meters and we are given the height h=5 meters. Now we can substitute them into the formula and calculate V.

V=π r^2 h

SubstituteII

r= 7.5, h= 5

V=π ( 7.5)^2 ( 5)

▼

Solve for V

CalcPow

Calculate power

V=π (56.25)(5)

Multiply

V=281.25π

Substitute