Lateral Area: About 1000.6 square centimeters Surface Area: About 1266.1 square centimeters
Practice makes perfect
A cereal container can be modeled by the following cylinder with a height of h= 24.5 centimeters and a diameter of 13 centimeters. This tells us that the radius of the cylinder is r= 132= 6.5 centimeters.
<jsxgpre id="Solution41628_1" static=1>
var b = mlg.board([-3.5, 5.0, 3.5, -1.25], {desktopSize:'medium', style:'usa'});
var f2 = b.ellipse(b.node(0,0),1,0.5,{startAngle:0,endAngle:180,strokeWidth:1,dash:2});
var f1 = b.ellipse(b.node(0,0),1,0.5,{startAngle:180,endAngle:360,strokeWidth:1.5,dash:0,fillColor:'darkorange'});
var f34 = b.ellipse(b.node(0,2.5),1,0.5,{startAngle:0,endAngle:360,strokeWidth:1.5,dash:0,fillColor:mlg.tikzColor('red!55')});
var p1 = b.node(-1,0);
var p2 = b.point(0,0,{fillColor:'black',size:0.2});
var p3 = b.node(1,0);
var p4 = b.node(-1,2.5);
var p5 = b.node(0,2.5);
var p6 = b.node(1,2.5);
var len=0.2;
var pright = b.node(p2.X()+len,p2.Y());
var prightup = b.node(p2.X()+len,p2.Y()+len);
var pup = b.node(p2.X(),p2.Y()+len);
b.segment(pright,prightup,{strokeColor:'red',strokeWidth:1});
b.segment(pup,prightup,{strokeColor:'red',strokeWidth:1});
b.trim({top:0.5});
</jsxgpre>
We are asked to find the lateral area and the surface area of the container and round it to the nearest tenth if necessary. First, let's find the lateral area. The lateral area is given by the equation L=2Ï€ r h. Now, let's substitute the known values into the equation.
Therefore, the lateral area of the container is about 1000.6 square centimeters. Now, to find the surface area of the cylinder S, we should add areas of two bases to the lateral area. Since each base is a circle, let's use the formula for the area of a circle.
