# Volume

## Quiz by D Stafford

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10 questions

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- Q1Which formula correctly shows the volume of a cylinder with a radius \(r\) and a height \(h\)?$V\; =\; \backslash pi\; r^2\; (2h)$$V\; =\; \backslash pi\; r^2\; h$$V\; =\; \backslash frac\{2\}\{3\}\; \backslash pi\; r^2\; h$$V\; =\; \backslash frac\{4\}\{3\}\; \backslash pi\; r^3$30s
- Q2A cone and a cylinder have the same height and radius. If the cylinder's volume is 150 cm³, what is the volume of the cone?200 cm³50 cm³75 cm³100 cm³30s
- Q3If the radius of a sphere is tripled, by what factor does the volume of the sphere increase?3 times9 times27 times6 times30s
- Q4What is the volume of a cylinder with radius 4 cm and height 10 cm?$160\backslash pi\; cm^3$$200\backslash pi\; cm^3$$80\backslash pi\; cm^3$$120\backslash pi\; cm^3$30s
- Q5What is the volume of a sphere with a radius of 6 cm?$2\backslash pi\; imes\; 6^2\; cm^3$$\backslash frac\{4\}\{3\}\backslash pi\; imes\; 6^3\; cm^3$$\backslash frac\{1\}\{3\}\backslash pi\; imes\; 6^3\; cm^3$$\backslash pi\; imes\; 6^2\; imes\; 6\; cm^3$30s
- Q6A cylinder and a cone have the same radius and height. If the volume of the cylinder is 90 cm³, what is the volume of the cone?30 cm³45 cm³120 cm³60 cm³30s
- Q7Which of the following formulas represents the volume of a sphere with radius \(r\)?$4\backslash pi\; r^2$$\backslash frac\{4\}\{3\}\backslash pi\; r^3$$\backslash frac\{1\}\{3\}\backslash pi\; r^2\; h$$\backslash pi\; r^2\; h$30s
- Q8Which formula represents the volume of a cone with radius \(r\) and height \(h\)?$\backslash frac\{1\}\{3\}\backslash pi\; r^2\; h$$2\backslash pi\; r\; h$$\backslash frac\{4\}\{3\}\backslash pi\; r^3$$\backslash pi\; r^2\; h$30s
- Q9If the height of a cylinder is doubled while keeping the radius the same, by what factor does the volume of the cylinder increase?2 timesNo change4 times3 times30s
- Q10A sphere has a radius of 3 cm. What is its volume?$27\backslash pi\; cm^3$$36\backslash pi\; cm^3$$54\backslash pi\; cm^3$$18\backslash pi\; cm^3$30s