Exercise 46 Page 830

The given solid is a cylinder. To calculate the surface area of a cylinder, we can use the following formula. S=2π rh+2π r^2In this formula r is the radius of the base and h is the height of the cylinder. We are given that the diameter of the cylinder's base is 18cm. By dividing it by 2, we get the radius of the base. r=18/2= 9cm Now, by substituting r with 9 and h with 12 into the formula we can solve for S. Let's do it!

S=2π rh+2π r^2

SubstituteII

r= 9, h= 12

S=2π( 9)( 12)+2π( 9)^2

▼

Simplify right-hand side

CalcPowProd

Calculate power and product

S=216π + 162π

AddTerms

Add terms

S=378π

UseCalc

Use a calculator

S=1187.522023...

RoundDec

Round to 1 decimal place(s)

S≈ 1187.5

The surface area of the given cylinder is about 1187.5cm^2.