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Glencoe Math: Course 3, Volume 2 View details

5. Surface Area of Cones

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Exercise 35 Page 638

Use the formula for the volume of a cone.

1742.5 ft^3

Practice makes perfect

The given solid is a cone with a diameter of 16 feet and a height of 26 feet. To calculate the volume of a cone with radius r and height h, we can use the following formula. V= 13π r^2 hSince the diameter of the cone's base is 16 feet, we can divide it by 2 and get the radius of the base. r=16/2 ⇒ r= 8ft By substituting r with 8 and h with 26 into the formula, we can now calculate V.

V=1/3π r^2 h

SubstituteII

r= 8, h= 26

V=1/3π ( 8)^2 ( 26)

▼

Evaluate right-hand side

CalcPow

Calculate power

V=1/3π(64)(26)

Multiply

V=1/3π(1664)

CommutativePropMult