Practice Volume of a Combination of Solids - 12.3 | 12. Surface Areas and Volumes | CBSE 10 Mathematics
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skillsβ€”perfect for learners of all ages.

12.3 - Volume of a Combination of Solids

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Find the volume of a cube with edge length 2 cm.

πŸ’‘ Hint: Multiply the edge length by itself twice.

Question 2

Easy

Calculate the volume of a cylinder with radius 3 cm and height 5 cm.

πŸ’‘ Hint: Remember to separate radius and height in your calculations.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the volume of a hemisphere with a radius of 3?

  • 9Ο€
  • 4.5Ο€
  • 27Ο€/3

πŸ’‘ Hint: Remember the hemisphere volume formula.

Question 2

True or False: The volume of a combination of solids is always equal to the sum of their volumes.

  • True
  • False

πŸ’‘ Hint: Think about how volume works with combined shapes.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A fountain consists of a cylindrical base with a hemisphere at the top. The cylinder has a height of 10 m and a radius of 3 m. Calculate the total volume of the fountain.

πŸ’‘ Hint: Use the formulas for both solids and then combine them.

Question 2

A toy is in the shape of a cone of height 4 cm and radius 3 cm on top of a cylinder with a height of 8 cm and the same radius. Calculate the volume of the toy.

πŸ’‘ Hint: Break down the toy into individual geometrical solids.

Challenge and get performance evaluation