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

3. Volumes of Spheres

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Exercise 3 Page 443

Use the formula for the volume of a cone.

≈ 84.8 m^3

Practice makes perfect

We want to find the volume of a cone.

To do so, we can use the formula for the volume of the cone. V= 13π r^2 h Here, r is the radius and h is the height of the cone. We are given that the height of the cone is 4 meters and the diameter of the base is 9 meters. Note that if we divide the diameter by 2, we get the radius of the base r=9/2= 4.5cm Let's substitute r= 4.5 and h= 4 into the formula and calculate the volume.

V=1/3π r^2 h

SubstituteII

r= 4.5, h= 4

V=1/3π ( 4.5)^2 ( 4)

▼

Simplify right-hand side

CalcPow

Calculate power

V=1/3π(20.25)(4)

Multiply

V=1/3π(81)

CommutativePropMult