Practice Summary - 12.4 | 12. Surface Areas and Volumes | CBSE 10 Mathematics
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12.4 - Summary

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the formula for the total surface area of a cylinder?

πŸ’‘ Hint: Remember to include the areas of both the top and bottom circles.

Question 2

Easy

How do you find the volume of a sphere?

πŸ’‘ Hint: Think of the relationship to the diameter.

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 contributes to the total surface area of combined solids?

  • Only the outer layer
  • All surfaces
  • Only curved surfaces

πŸ’‘ Hint: Think about which sides are actually seen after combining.

Question 2

True or False: The volumes of combined solids should be added together.

  • True
  • False

πŸ’‘ Hint: Remember how we measure space.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Calculate the total surface area and volume of a decorative fountain made of a cylinder (height 2m, radius 0.5m) topped with a hemispherical dome (radius 0.5m).

πŸ’‘ Hint: Remember to account for the hemispherical part separately.

Question 2

A snack container has a cylindrical body (height 15cm, radius 4cm) with a conical lid (height 5cm, radius 4cm). Compute the total volume.

πŸ’‘ Hint: Sum both body volumes for the final answer.

Challenge and get performance evaluation