Question

Which solid has a greater volume?

Answer 1

i believe the answer is C hope you get it right. :) <3

Answer 2

Answer: C. They are equal.

Explanation:

For cone:

Height = 6 units

Radius = 5 units

The volume of cone is given by :-

`V_(cone)=(1)/(3)\pi r^2 h\\\\\Rightarrow V_(cone)=(1)/(3)\pi(5)^2(6)\\\\\Rightarrow V_(cone)==50\pi\ units^3........................(1)`

For cylinder:

Height = 50 units

Radius = 1 units

The volume of cylinder is given by :-

`V_(cylinder)=\pi r^2 h\\\\\Rightarrow V_(cylinder)=\pi(1)^2(50)\\\\\Rightarrow V_(cylinder)==50\pi\ units^3..............(2)`

From (1) and (2), we have

`V_(cone)=V_(cylinder)`

Therefore, the given solids are equal in volume.