Answer:
The correct option is;
Left object volume = right object volume
Step-by-step explanation:
The shapes given in the question are two circular cones that have equal base radius and equal height
The formula for the volume, V of a circular cone = 1/3 × Base area × Height
The base area of the two shapes are for the left A = π·r², for the right A = π·r²
The heights are the same, therefore, the volume are;
For the left
[tex]V_{left}[/tex] = 1/3×π·r²×h
For the right
[tex]V_{right}[/tex] = 1/3×π·r²×h
Which shows that
1/3×π·r²×h = 1/3×π·r²×h and [tex]V_{left}[/tex] = [tex]V_{right}[/tex], therefore, the volumes are equal and the correct option is left object volume = right object volume.
