Geometry and Trigonometry - Area and volume — Quiz 3

Questions in this quiz (10)

1. The volume of right circular cylinder $$B$$ is $$40$$ cubic centimeters. What is the volume, in cubic centimeters, of a right circular cylinder with three times the radius and half the height of cylinder $$B$$?

   • $$20$$
   • $$40$$
   • $$180$$
   • $$360$$

2. Square $$C$$ has side lengths that are $$5$$ times the side lengths of square $$D$$. The area of square $$C$$ is $$k$$ times the area of square $$D$$. What is the value of $$k$$?

   • 25

3. A sphere has a radius of $$\frac{9}{2}$$ feet. What is the volume, in cubic feet, of the sphere?

   • $$36\pi$$
   • $$\frac{243\pi}{2}$$
   • $$243\pi$$
   • $$972\pi$$

4. A circle has a radius of $$12$$ meters. What is the area, in square meters, of the circle?

   • $$24\pi$$
   • $$144\pi$$
   • $$288\pi$$
   • $$1728\pi$$

5. A right circular cylinder has a base diameter of $$10$$ centimeters and a height of $$9$$ centimeters. What is the volume, in cubic centimeters, of the cylinder?

   • $$225\pi$$
   • $$450\pi$$
   • $$900\pi$$
   • $$1800\pi$$

6. Parallelogram $$LMNO$$ is similar to parallelogram $$PQRS$$. The length of each side of parallelogram $$PQRS$$ is $$4$$ times the length of its corresponding side of parallelogram $$LMNO$$. The area of parallelogram $$LMNO$$ is $$3$$ square centimeters. What is the area, in square centimeters, of parallelogram $$PQRS$$?

   • $$12$$
   • $$24$$
   • $$36$$
   • $$48$$

7. A right circular cone has a volume of $$36\pi$$ cubic centimeters and the area of its base is $$9\pi$$ square centimeters. What is the slant height, in centimeters, of this cone?

   • $$3$$
   • $$4$$
   • $$5$$
   • $$3\sqrt{17}$$

8. A cube has a surface area of $$96$$ square meters. What is the volume, in cubic meters, of the cube?

   • $$16$$
   • $$32$$
   • $$64$$
   • $$128$$

9. Square $$M$$ has a side length of $$10$$ centimeters. The perimeter of square $$N$$ is $$3$$ times the perimeter of square $$M$$. What is the length, in centimeters, of one side of square $$N$$?

   • $$10$$
   • $$15$$
   • $$20$$
   • $$30$$

10. A circle has a radius of $$5$$ inches. The area of the circle is $$b\pi$$ square inches, where $$b$$ is a constant. What is the value of $$b$$?

    • 25