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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the volume of a sphere with a radius of 3 cm?
💡 Hint: Use the formula \\( \\frac{4}{3} \\pi r^3 \\).
Question 2
Easy
Calculate the volume of a hemisphere with a radius of 4 cm.
💡 Hint: You need the hemisphere volume formula, \\( \\frac{2}{3} \\pi r^3 \\).
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 formula gives the volume of a sphere?
- A) \\( \\pi r^3 \\)
- B) \\( \\frac{4}{3} \\pi r^3 \\)
- C) \\( 2 \\pi r^3 \\)
💡 Hint: Remember the formula we discussed earlier.
Question 2
True or False: A hemisphere has the same volume as a quarter of a sphere.
- True
- False
💡 Hint: Think about how a hemisphere relates to a whole sphere.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a sphere with a radius of 10 cm, calculate how much more water it would displace if we replace it with a sphere of 15 cm radius.
💡 Hint: Use the volume formula for both spheres and find their difference.
Question 2
A hemispherical water tank has a diameter of 6 m. If it is fully filled with water, how many liters of water does it hold? (1 m³ = 1000 liters)
💡 Hint: Calculate the radius from the diameter and use the hemisphere volume formula.
Challenge and get performance evaluation