Cracking the SAT Subject Test in Math 2, 2nd Edition Face Diagonal of a Cube f = Long Diagonal of a Cube d = CYLINDERS A cylinder is like a prism but with a circular base It has two important dimensio[.]
Face Diagonal of a Cube f = Long Diagonal of a Cube d = CYLINDERS A cylinder is like a prism but with a circular base It has two important dimensions—radius and height Remember that volume is the area of the base times the height In this case, the base is a circle The area of a circle is πr2 So the volume of a cylinder is πr2h Volume of a Cylinder V = πr2h The surface area of a cylinder is found by adding the areas of the two circular bases to the area of the rectangle you’d get if you unrolled the side of the cylinder That boils down to the following formula: Surface Area of a Cylinder SA = 2πr2 + 2πrh The longest line that can be drawn inside a cylinder is the diagonal of the rectangle formed by the diameter and the height of the cylinder You can find its length with the Pythagorean Theorem ...Volume of a Cylinder V = πr2h The surface area of a cylinder is found by adding the areas of the two circular bases to the area of the rectangle you’d get if you unrolled the side of the cylinder That boils down to the following formula:... That boils down to the following formula: Surface Area of a Cylinder SA = 2πr2 + 2πrh The longest line that can be drawn inside a cylinder is the diagonal of the rectangle formed by the diameter and the height of the cylinder... The longest line that can be drawn inside a cylinder is the diagonal of the rectangle formed by the diameter and the height of the cylinder You can find its length with the Pythagorean Theorem