1. What is the volume of a cylinder (in units m^{3}) whose radius of the base is 4m and the height is 6m?
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Correct answer is option - 3
Explanation: Volume of the cylinder, V = π * r^{2} * h.
Given, r = radius = 4m and h = height = 6m.
This gives, volume of the cylinder, V = π * 4^{2} * 6 = 96π.
2. What isthe volume of a cylinder (in units m^{3}) whose radius of the base is 10m and the height is 5m?
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Correct answer is option - 1
Explanation: Volume of the cylinder, V = π * r^{2} * h.
Given, r = radius = 10m and h = height = 5m.
This gives, volume of the cylinder, V = π * 10^{2} * 5 = 500π.
3. What isthe volume of a cylinder whose radius of the base is 3.2cm and the height is 7.5cm?
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Correct answer is option - 2
Explanation: Volume of the cylinder, V = π * r^{2} * h.
Given, r = radius = 3.2cm and h = height = 7.5cm.
This gives, volume of the cylinder, V = π * 3.2^{2} * 7.5 = 76.8π = 241.3cm^{3}.
4. If the volume of a cylinder is 144π and the radius of the base of the cylinder is 6m, then how much is the height of the cylinder?
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Correct answer is option - 2
Explanation: Volume of the cylinder, V = π * r^{2} * h.
Given, Volume, V = 144π and r = radius = 6m.
This gives, height of the cylinder, h = V/ (π * r^{2}) = 144π/ (π * 36).
This implies, height of the cylinder, h = 4m.
5. If the volume of a cylinder is 320π and the height of the cylinder is 5m, then how much is the radius of the base of the cylinder?
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Correct answer is option - 4
Explanation: Volume of the cylinder, V = π * r^{2} * h.
Given, Volume, V = 320π and height, h = 5m.
This gives, height of the cylinder, r^{2} = V/ (π * h) = 320π/ (π * 5).
This implies, radius of the cylinder, r^{2} = 64 ==> r = √64 = 8m.