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

2. Volumes of Cones

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Exercise 1 Page 434

Use the formula for the volume of a cone.

≈ 565.5 cm^3

Practice makes perfect

We want to find the volume of a cone.

We can use the formula for the volume of a cone. V=1/3 B h Here, B is the area of the base and h is the height of the cone. Since the base is a circle, the area of the base will be equal to π r^2, where r is the radius. V= 1/3 π r^2 h We are given that the height of the cone is 15 centimeters and the radius of the base is 6 centimeters. Let's substitute these values into the formula and calculate the volume.

V=1/3π r^2 h

SubstituteII

r= 6, h= 15

V=1/3π ( 6)^2 ( 15)

▼

Simplify right-hand side

CalcPow

Calculate power

V=1/3π(36)(15)

Multiply

V=1/3π(540)

CommutativePropMult