Question

Container A is cylinder with a radius of 6 units and a height of 6 units. A right cone has been carved from its base and has a height of 6 units. Container B has the same radius as container A. Which statement derives the formula to find the volume of container A?
1 over 3π(62)(6) − π(62)(6)
2[1 over 3π(62)(6) − π(62)(6)]
2[π(62)(6) − 1 over 3π(62)(6)]
π(62)(6) − 1 over 3π(62)(6)

Answer 1

Answer:

V = π6²6 - (1/3)π6²6

Step-by-step explanation:

Volume of a cone is (1/3) that of a cylinder with the same radius and height.

Container A volume is the volume of a cylinder minus a cone.

V = πr²h - (1/3)πr²h

V = π6²6 - (1/3)π6²6

V = 144π units³