The volume of a cylinder is 24 ft3. The volume of a cube is 54 ft3. What is the difference between the volume of a cone that fits exactly inside the cylinder and the volume of a pyramid that fits exactly inside the cube? Provide an explanation for your answer to receive full credit.

Question

campbell_st · Answer

the volume of the cone is 1/3 of the volume of the cylinder

volume of the pyramid is 1/3 the volume of the cube

then find the difference to get the answer

anonymous · Answer

So how would I solve that? @campbell_st

campbell_st · Answer

so simply divide the volume of the cylinder by 3...  this will be the cone volume

and then divide the volume of the cube by 3...   this will be the pyramid volume

then just subtract them

anonymous · Answer

Okay I understand so would this be right?
24/3 = 8
54/3 = 18 
Then It'd be 24 - 8 = 16 and 54 - 18 = 46 
@cambell_st

anonymous · Answer

@campbell_st

campbell_st · Answer

so using the 1st part

Cone V = 8ft^3
Pyramid V= 18 ft^3

the difference = 18 - 8
                       = 10 ft^3