Practice Volume Of A Sphere (11.4) - Surface Areas And Volumes

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8 questions

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6 questions · about 4 min · pass mark 70%. Hints available.
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2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the volume of a sphere with a radius of 3 cm?
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Use the formula \\( \\frac{4}{3} \\pi r^3 \\).
Question 2.
Calculate the volume of a hemisphere with a radius of 4 cm.
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You need the hemisphere volume formula, \\( \\frac{2}{3} \\pi r^3 \\).
3Question 3.
What formula gives the volume of a sphere?
- A) \\( \\pi r^3 \\)
- B) \\( \\frac{4}{3} \\pi r^3 \\)
- C) \\( 2 \\pi r^3 \\)
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Remember the formula we discussed earlier.
4Question 4.
True or False: A hemisphere has the same volume as a quarter of a sphere.
- True
- False
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Think about how a hemisphere relates to a whole sphere.
Question 5.
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.
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Use the volume formula for both spheres and find their difference.
Question 6.
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)
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Calculate the radius from the diameter and use the hemisphere volume formula.

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