Surface Area and Volume - Right Circular Cone

Author:
GeoGebra Materials Team, Rea T Xenja
Use this worksheet to practice finding the volume and surface area of a right circular cone. Adjust the height and radius using the labeled sliders. Answer the questions below. Click on the check boxes to find helpful hint and verify your answers.
GeoGebra Applet
1.Find the volume and surface area for 5 different cones by randomly choosing different heights and radii.
  • Height ______, Radius _______, Slant Height _______, Surface Area ___________, Volume ___________
  • Height ______, Radius _______, Slant Height _______, Surface Area ___________, Volume ___________
  • Height ______, Radius _______, Slant Height _______, Surface Area ___________, Volume ___________
  • Height ______, Radius _______, Slant Height _______, Surface Area ___________, Volume ___________
  • Height ______, Radius _______, Slant Height _______, Surface Area ___________, Volume ___________
2. Find the missing dimensions below. Round to the nearest unit. a. Cone: volume is 142 cubic meters, diameter is _________, height is 9 meters b. Cone: surface area is 153.5 square inches, radius is 4 inches, slant height ____________ 3. Plants: A cone-shaped paper cup is 6 cm high with a diameter of 7 cm. If the ivy plant on Julia's desk needs 240mL of water, about how many paper cups of water will she use to water it? (1 mL = 1 cubic cm)

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