Practice Summary (12.4) - Surface Areas and Volumes - CBSE 10 Mathematics
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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

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

💡 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?

💡 Hint: Think of the relationship to the diameter.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What contributes to the total surface area of combined solids?

Only the outer layer
All surfaces
Only curved surfaces

💡 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

💡 Hint: Remember how we measure space.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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).

💡 Hint: Remember to account for the hemispherical part separately.

Challenge 2 Hard

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

💡 Hint: Sum both body volumes for the final answer.

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