the height of a cone is 60cm a small coneis cut off at the top by a plain parallel - Maths - Surface Areas and Volumes

Question

the height of a cone is 60cm a small coneis cut off at the top
by a plain parallel to the base and its volume is 1/64th the volume
of original conewhat is the the height from the base at which the
section is made?

Aishwarya · Answer

Hi Siddharth! Here is the answer to your question

Let height of the original cone r1 and h1 be the radius and respectively Let r2 and h2 be the radius and height of the cone that was cut off B and D are the centers of the bases of these cones Given h1 = AB = 60 cm In âˆ†ADE and âˆ†ABC ∠DAE = ∠BAC (Common) ∠ADE = ∠ABC (Corresponding angles as DE || BC) ∴ âˆ†ADE ∼ âˆ†ABC (AA similarity)

Thus, the smaller cone is cut at a distance of (60 – 15) cm = 45 cm above the base

the height of a cone is 60cm. a small coneis cut off at the top by a plain parallel to the base and its volume is 1/64th the volume of original conewhat is the. the height from the base at which the section is made?