Volume and Surface Area of Cones
Calculate the volume and surface area of various cones using given dimensions.
Includes
Standards
Topics
Volume and Surface Area of Cones
Name:
Date:
Score:
Read each question carefully and solve for the volume or surface area of the cones. Show all your work. Use π ≈ 3.14 where necessary. Round your answers to two decimal places.
1. A cone has a radius of 5 cm and a height of 12 cm. Calculate its volume.
2. Find the volume of a cone with a diameter of 10 meters and a height of 15 meters.
3. A cone has a radius of 3 cm and a slant height of 5 cm. Calculate its lateral surface area and total surface area.
4. A cone has a radius of 6 inches and a height of 8 inches. Find its total surface area.
5. The formula for the volume of a cone is V = .
6. The formula for the lateral surface area of a cone is L.S.A. = .
7. The formula for the total surface area of a cone is T.S.A. = .
8. Which of the following represents the slant height of a cone?
The perpendicular distance from the apex to the base.
The distance from the center of the base to any point on the circumference.
The distance from the apex to any point on the circumference of the base.
The circumference of the base divided by 2π.
9. Doubling the radius of a cone will double its volume.
True
False
Related Worksheets
Arcs and Sectors Geometry Worksheet
A Grade 9 math worksheet focusing on calculating arc length, sector area, and related properties of circles.
Grade 9 Math: Coordinate Proofs
This worksheet focuses on coordinate proofs, including proving geometric properties on a coordinate plane, calculating distances, midpoints, and slopes.
Grade 9 Math: Geometric Translations
A worksheet covering geometric translations on the coordinate plane for Grade 9 students, including identifying translations, applying translation rules, and determining translation vectors.
Corresponding Parts in Geometry
Grade 9 worksheet on identifying and using corresponding parts of congruent figures, including triangles and polygons.
Midsegment of a Trapezoid Worksheet
This worksheet focuses on understanding and applying the midsegment theorem for trapezoids, including calculating lengths and solving for unknown variables.
Grade 9 Geometric Constructions Worksheet
A Grade 9 math worksheet focusing on geometric constructions using a compass and straightedge, covering bisectors, perpendiculars, and angles.
Finding Quadrant of an Angle
Identify the quadrant of angles in standard position and understand angle measurement in a coordinate plane.