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McGraw Hill Glencoe Geometry, 2012 View details

4. Volumes of Prisms and Cylinders

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Exercise 32 Page 868

Use the formula for the volume of a cylinder.

5.7cm

Practice makes perfect

We know that the can is a cylinder. The volume of a cylinder with the radius r and height h is given by the following formula. V=π r^2 h We do not know the radius of the can, but we are given its diameter d = 9cm and volume V=363cm^3. To find the radius r, we can use the following formula. d = 2r Let's substitute the given diameter into the formula and find r.

d = 2r

Substitute

d= 9

9 = 2r

DivEqn

.LHS /2.=.RHS /2.

4.5 = r

RearrangeEqn

Rearrange equation

r = 4.5

The radius of the can is 4.5cm. We can now substitute the radius and volume into the formula and calculate h.

V=π r^2 h