The volume of aright circular cone is 12 litres calculate the volume of the two parts into which the cone is divided by a plane parallel to the base a quarter of the way down from the vertex to the base

the New Cone Volume is 0.1875 litres & the Volume of frustum is 11.8125 litres.

Step-by-step explanation:

According To Question,

We have Given A Right Circular Cone, Volume = 12 Litres .

Now, Let The Radius Of the base be r & the height be h .

Volume of Cone = 1/3×π×r²×h

thus, 1/3×π×r²×h=12

π×r²×h=36 → Equation. 1

Now, The new Cone is cut from the Plane Parallel to a base a quarter the way down from the vertex of the base. then the cone is cut at 1/4 from the base . So the Height of new Cone is h/r and the radius is r/4 .

Then, Volume Of new Cone=1/3×π×(r²/16)×(h/4)  ⇔ (Put Value From Equ. 1)

V= 12/64  ⇔ 0.1875 litres of new cone volume .

Then, the volume of Frustum = 12-0.1875 = 11.8125 litres

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europa2433

step-by-step explanation:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)