The given solid is a cylinder.
<jsxgpre id="Solution_41742_1" alt="" static=1>
var b=mlg.board([0.0,7.5,10.0,0.0],{desktopSize:"medium",style:"usa",grid:false});
var opt1 = {strokeColor:"goldenrod", layer:12};
var off = {color:["rgb(229,192,98)","rgb(244,228,188)"], offset:[40,100] };
var p1 = b.point(5.28,4.13,{fillColor:"black",layer:14});/*center of the top base*/
var p2 = b.node(6.82,3.87);/*point on the right side of the top base*/
var p4 = b.node(2.19,0.83);/*center of the bottom base*/
var p5 = b.node(3.75,0.57);/*point on the right side of the bottom base*/
var r1 = b.node(3.62,4.15);/*the other end of the radius*/
var n1 = b.node(3.7,4.35);/*point on the left side of the top base*/
var n2 = b.node(0.6,1.05);/*point on the left side of the bottom base*/
var radius = b.segment(r1,p1,{strokeColor:'red',layer:13});/*radius*/
var h1 = b.node(6.94,0.83);
var h2 = b.node(3.85,0.83);
var h3 = b.node(6.94,4.13);
var height1 = b.segment(h1,h2,{strokeColor:'red',dash:3});
var height2 = b.segment(h1,h3,{strokeColor:'red', dash:3});
b.angleMarker(h3,h1,h2,{});
var seg3 = b.segment(n1,n2,opt1);
var seg4 = b.segment(p2,p5,opt1);/*the lines on the sides of the cylinder*/
var g1 = b.node(3.69,5.2);
var g2 = b.node(4.4,4.14);
var seg = b.segment(g1,g2,{strokeColor:'gray',layer:13});/*the segment between the diameter and its length*/
var n21 = b.node(0.46,0.83);
var ellipse1 = b.ellipse(p1,1.66,0.69,{fillColor:"rgb(229,192,98)",layer:12,strokeColor:"goldenrod"});
var lower = b.ellipse(p4,1.66,0.69,{fillColor:"rgb(229,192,98)", startAngle:0, endAngle:180, dash:3,strokeColor:"goldenrod"});
var lower2 = b.ellipse(p4,1.66,0.69,{fillColor:"rgb(229,192,98)", startAngle:180, endAngle:360,strokeColor:"goldenrod"});
var polygon1 = b.polygon([p2,p5,n21,n1],{fillColor:"rgb(229,192,98)", borders:{visible:false}});
var grad = b.gradient(lower,off);
var grad = b.gradient(polygon1,off);
var grad = b.gradient(lower2,off);
var txt1 = b.segmentText(height2,{name:'15.2\\ \\text{mm}',distance:-1});
var txt2 = b.txt(2.9,5.2,'7.5\\ \\text{mm}',{});
var n = b.node(2.19,0.14,{});/*this is only here to make b.trim work*/
b.trim({});
</jsxgpre>
The volume of a cylinder with the radius r and height h can be calculated by the following formula.
V=Ï€ r^2 h
By the Cavalieri's Principle, the formula still holds true for oblique cylinders. Since we are given both the radius and height of the cylinder, we can substitute them into the formula and calculate V.
