The volume of a cylinder varies jointly as its altitude and the square of the radius of its base. If the volume of a cylinder is 3,717 cubic centimeters when the radius of the base is 13 centimeters and its altitude is 7 centimeters, find the volume of a cylinder that has a base of radius 117 centimeters. The altitude of the cylinder is 42 centimeters. A) V = 1,806,406 cm ³ B) V = 1,806,477 cm ³ C) V = 1,806,433 cm ³ D) V = 1,806,462 cm ³ E) V = 1,806,572 cm ³

Question

Quizplus · Accepted Answer

The volume of a cylinder is given by V = k * r^2 * h. First, find k using the given values: 3717 = k * 13^2 * 7. Solving for k gives k = 3. Now, use this k to find the new volume: V = 3 * 117^2 * 42 = 1,806,462 cm³.

The Volume of a Cylinder Varies Jointly as Its Altitude