Question

Which solid has a greater volume?O A. Figure A50B. Figure BАBO C. they are equalO D. need more information

Answer 1

Given:

The height of the prism, h = 6

The base side of the prism, b = 5.

The base side length of the prism, l =5.

The height of the cylinder, h = 50.

The radius of the cylinder, r =1.

Required:

We need to compare the volume of the cylinder and prism.

Step-by-step explanation:

Consider the formula to find the volume of the prism.

`V_1=(bhl)/(2)`

Substitute b=5, h =6, and l=5 in the formula to find the volume of the prism.

`V_1=(5*6*5)/(2)`

`V_1=75\text{ units}^3`

Consider the formula to find the volume of the cylinder.

`V_2=\pi r^2h`

Substitute r =1 and h =50 in the formula to find the volume of the cylinder.

`V_2=3.14*1^2*50`
`V_2=157\text{ units}^3`
`We\text{ know that 75<157.}`

The cylinder has greater volume.

Final answer:

Figure B has a greater volume.