Question

Which solid has a greater volume?

Answer 1

Answer: C. They are equal.

Step-by-step explanation:

For cone:

Height = 6 units

Radius = 5 units

The volume of cone is given by :-

$V_{cone}=\frac{1}{3}\pi r^2 h\\\\\Rightarrow V_{cone}=\frac{1}{3}\pi(5)^2(6)\\\\\Rightarrow V_{cone}==50\pi\ units^3........................(1)$

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.

Answer 2

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