Honors Math II
Name _________________________________
Cylinders and Cones
Date _________________ Period __________
For exercises 1 and 2, find the lateral area, total area and volume of the cylinder.
1. r = 4; h = 5
2. r = 8; h = 15
3. The volume of a cylinder is 64π . If r = h , find r.
4. The lateral area of a cylinder is 18π . If h = 6 , find r.
5. The volume of a cylinder is 72π . If h = 8 , find the lateral area.
6. The total area of a cylinder is 100π . If r = h , find r.
7. Find the slant height, lateral area, total area and volume of a cone with radius of 4 and height of 3.
8. Find the radius, height, total area and volume of a cone with slant height 15 and lateral area of 180π .
9. Find the height, slant height, lateral area and total area of a cone with radius 9 and volume of 324π .
10. A manufacturer needs to decide which container to use for packaging a product. One container
is twice as wide as another but only half as tall. Which container holds more, or do they hold the
same amount? Guess first and then calculate the ratio of their volumes.
11. A cone and a cylinder both have height 48 and radius 15. Give the ratio of their volumes
without calculating the two volumes.
12. A solid metal cylinder with radius 6 cm and height 18 cm is melted down and recast as a
solid cone with radius 9 cm. Find the height of the cone.
13. A pipe is 2 m long and had inside radius 5 cm and outside radius 6 cm. Find the volume of the
metal contained in the pipe to the nearest cubic centimeter.
14. The total area of a cylinder is 40π . If h = 8 , find r.
15. An equilateral triangle with 6 cm sides is rotated about an altitude. Draw a diagram and find the
volume of the solid formed.
16. A square is rotated in space about a side s. Describe the solid formed and find its volume of s.