Exercise 5 Page 844

Use the formula for the volume of a cone.

51.3in^3

Practice makes perfect

To calculate the volume of a cone, we can use the following formula. In this formula r is the radius and h is the height of the cone. V= 13π r^2 hFrom the diagram, we know that the diameter of the cone's base is 7inches. By dividing by 2, we get the radius of the base. r=7/2=3.5in We are given that the height of the cone is 4inches and we found that the radius of the base is 3.5inches. Let's substitute these values into the volume formula.

V=1/3π r^2 h

SubstituteII

r= 3.5, h= 4

V=1/3π ( 3.5)^2 ( 4)

▼

Simplify right-hand side

CalcPow

Calculate power

V=1/3π(12.25)(4)

Multiply

V=49/3π

UseCalc