Volume of cylinders, cones, spheres Knowledge-Based Practice

Questions

1. 1.

   A solid metal sphere with a radius of 3 cm is completely submerged in water inside an upright right circular cylinder that has an inside radius of 6 cm. By how many centimeters does the water level in the cylinder rise?

   • A) 0.75 cm
   • B) 1 cm
   • C) 1.5 cm
   • D) 2 cm
2. 2.

   A right circular cone has a base radius of 9 cm and a slant height of 15 cm. What is the volume of the cone, in cubic centimeters?

   • A) $162\pi$
   • B) $972\pi$
   • C) $324\pi$
   • D) $405\pi$
3. 3.

   A solid right circular cylinder has a base diameter of 12 cm and a height of 15 cm. If a cone with the same base and height is removed from the cylinder, what is the volume of the remaining solid, in cubic centimeters?

   • A) $180\pi$
   • B) $270\pi$
   • C) $540\pi$
   • D) $360\pi$
4. 4.

   A solid sphere with a radius of 6 cm is melted and recast into a right circular cone with a base radius of 6 cm. What is the height of the cone?

   • A) 24 cm
   • B) 12 cm
   • C) 48 cm
   • D) 8 cm
5. 5.

   A right circular cylinder has a base radius of 4 cm and a height of 18 cm. What is the radius of a sphere that has the same volume as this cylinder?

   • A) 4 cm
   • B) 9 cm
   • C) 6 cm
   • D) 12 cm

Answers and step-by-step solutions appear after you finish the test.