Question

*PLEASE ANSWER* Compare the volume of these two shapes,given their radii and heights are the same .

Answer 1

left object volume = right object volume

Answer 2

The correct option is;

Left object volume = right object volume

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

`V_(left)` = 1/3×π·r²×h

For the right

`V_(right)` = 1/3×π·r²×h

Which shows that

1/3×π·r²×h = 1/3×π·r²×h and
`V_(left)` =
`V_(right)`, therefore, the volumes are equal and the correct option is left object volume = right object volume.