NAME______DATE______PER.______

VOLUME OF PRISMS, CYLINDERS & CONES

PART 1. VOLUME OF PRISMS

For each of the following prisms, find the Volume.


  1. V = ______

  1. V = ______


  1. V = ______


  1. V = ______


  1. V = ______

PART 2. CYLINDERS

For each of the problems below, find the indicated value(s). Give your answers in terms of and rounded to the nearest tenth.


  1. ______
______
  1. ______
______/ Find the Volume of a right circular cylinder with a radius of 6 cm and an height of 10 cm.
  1. ______
______/
  1. ______
______/ Find the volume of a cylinder with a lateral area of 100 square units, and a radius of 5 units.
  1. ______
/ Find the height of a cylinder with a volume of 150 cubic units, and a radius of 5 units.

PART 3. CONES

For each of the problems below, find the indicated value(s). Give your answers in terms of and rounded to the nearest tenth.


  1. ______
______

  1. ______
______

  1. ______
______
  1. h = ______
/ The base area of a cone is 49 m2 and the volume is 196 m3. Find its height.
  1. ______
______/ Find the Volume of a right circular cone with a radius of 6 cm and an altitude of 10 cm.

PART 4, EFFECTS OF CHANGING DIMENSIONS ON VOLUME

Find the indicated measures.

  1. ______
/ The volume of a cone is 96 cm3. If its dimensions are reduced to one-half their original length, by what factor would the volume be affected?
  1. ______
/ The Volume of a cone is 48 cubic units. If its dimensions are reduced to one-half their original length, what would its new Volume be?
  1. ______
/ The volume of a cylinder is 80 mm3. If its dimensions are increased to one-and-a-half times their original length, what is its new volume?
  1. ______
/ If the dimensions of a cylinder are increased to three times their original length, by what factor would the volume be affected?
  1. ______
/ The volume of a rectangular prism is 154 cubic inches. Find its volume if its dimensions were doubled.