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

2. Volumes of Cones

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Exercise 3 Page 437

Use the formula for the volume of a cylinder.

≈ 1570.8 yd^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 diameter of the base is 20 yards and the height is 5 yards. Note that if we divide the diameter by 2, we get the radius of the base. r=20/2=10yd Let's substitute r= 10 and h= 5 into the formula and calculate the volume.

V=π r^2 h

SubstituteII

r= 10, h= 5

V=π ( 10)^2 ( 5)

▼

Evaluate right-hand side

CalcPow

Calculate power

V=π( 100)( 5)

Multiply

V=500π

UseCalc