Volume of Cylinders, Cones, and Spheres

Master the volume of cylinders, cones, and spheres!

Answer the following questions involving volume of cylinders, cones, and spheres. Pay attention to the words radius and diameter. Calculate the volume of the cone below. All answers are in cubic inches. 250.15 83.38 333.53 23.82 A three dimensional figure is shown below.What is the volume of this figure in cubic inches? 268.08 536.17 2144.66 17157.28 Marie has a can of tomatoes that is 5.75 inches tall and has a radius of 1.8 inches. Which of the following is the closest to the volume of the can in cubic inches? 234.11 65.03 32.52 58.49 Fill in the blank space. A cone shaped candle costs 18 dollars. A sphere shaped candle has the same radius. The sphere shaped candle will cost 36 dollars. Complete the table. Use the relationships between cones, spheres, and cylinders to complete the table below. The radius and height are the same in all figures. Volume of Cone Volume of Sphere Volume of Cylinder 15 30 45 30 60 90 6 12 18 60 120 180 Fill in the blank with a number. If the dimensions of a cylinder are all tripled, the new volume will be 27 times larger. Fill in the blanks with a number. The volume of a sphere is 10 cubic centimeters. If the dimensions of the sphere all quadrupled, the new volume will be 64 times larger. The new volume will be 640 cubic centimeters. Word problem A cantaloupe has a radius of 12 cm. A clementine has a radius of 3.5 cm. Calculate the volume of each fruit. Round both volumes to the nearest whole number. (If number after decimal is 5 or higher, round the whole number up. If number after decimal is less than 5, the whole number stays the same). 7,235 180 The volume of the cataloupe is about how many times larger than the clementine? 40 3.4 132 75.36 cu. cm. 50.24 cu. cm. 25.12 cu. cm.