Exercise 32 Page 836

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

SubstituteII

r= 4.5, V= 363

363=π ( 4.5)^2 h

▼

Solve for h

CalcPow

Calculate power

363=20.25π h

DivEqn

.LHS /(20.25π).=.RHS /(20.25π).

363/20.25π = h

UseCalc

Use a calculator

5.705999... = h

RearrangeEqn

Rearrange equation

h = 5.705999...

RoundDec

Round to 1 decimal place(s)

h≈ 5.7

The approximate height of the can is 5.7 cm.