Next Unit Posttest Submit Test Reader Tools 3 The volume of a cone is 1,782 cubic centimeters. A cylinder has the same radius and height as the cone. What is the volume of the cylinder? A. 1,782 cubic centimeters B. 3,564 cubic centimeters C. 594 cubic centimeters D. 5,346 cubic centimeters Reset Next

To find the volume of the cylinder, you can use the formula for the volume of a cone, \( V = \frac{1}{3} \pi r^2 h \), and then apply the formula for the volume of a cylinder, which is \( V = \pi r^2 h \). Since the cylinder has the same radius and height as the cone, you can simply multiply the volume of the cone by three (since the cylinder's volume is three times larger than that of the cone). Thus, the volume of the cylinder would be \( 1,782 \times 3 = 5,346 \) cubic centimeters. The correct answer is D. Now, how cool is it to know that a cone and a cylinder can have the same base and height, yet have volumes that are related? It's like geometry’s little secret! Whether you're sculpting ice cream cones or pouring milk, understanding these shapes can come in handy, and it shows just how properties of shapes play a role in everyday tasks.