Classes IX & X Mathematics

Chapter 11: Surface Areas and Volumes

Standard NCERT & CBSE aligned study curriculum. Master concepts, track accuracy, revise weak areas, and challenge yourself with 9 customized practice modes.

Class Syllabus Selection

This topic is taught in multiple grades. Switch classes to see specific curriculum details:

Print-Ready Math Worksheet

Generate and print a beautiful chapter worksheet complete with key equations, problems, and dedicated writing spaces.

Worksheet Details:

  • Title: Class IX Math: Surface Areas and Volumes Printable Sheet
  • Format: Print Optimized CSS stylesheet
  • Sections: Formulas checklist, 5 assessment questions, worked keys

NexPro Education Worksheet

Class IX Mathematics: Surface Areas and Volumes

Name: ______________________Date: __________________Score: ______ / 5

Section I: Key Formulas

Volume of Sphere
V = \frac{4}{3}\pi r^3
Surface Area of Sphere
A = 4\pi r^2
Volume of Cone
V = \frac{1}{3}\pi r^2 h

Section II: Answer the Questions

1. The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. Find the ratio of their total surface areas.

Solve and write the step-by-step solution in the workspace below.

2. A student was asked to make a model shaped like a cylinder with two cones attached to its ends by using a thin aluminium sheet. The diameter of the model is 3 cm and its total length is 12 cm. If each cone has a height of 2 cm, find the volume of air contained in the model.

Solve and write the step-by-step solution in the workspace below.

3. The ratio of their surface areas is (a) 3:4 (b) 4:3 (c) 9:16 (d) 16:9

Solve and write the step-by-step solution in the workspace below.

4. From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid to the nearest cm2.

Solve and write the step-by-step solution in the workspace below.

5. (a) Two cubes each of volume 125 cm 3 are joined end to end. Find the volume and the surface area of the resulting cuboid.

Solve and write the step-by-step solution in the workspace below.