Question

A cone has a circular base with a radius of 4 cm. A slice is made parallel to the base of the cone so that the new cone formed has half the volume of the original cone. The radius in centimeters of the base of the new cone. is (A) 234 (B) 23/2 (C) 2.2 (D) 2​

Answer 1

Answer:

Let height of the cone is h

Now B is the midpoint of AC.

Let V1 and V2 be the volume of upper and lower part of the cone respectively

In ΔABE and ACD

∠B=90o=∠C

∠A=∠A      (Commen angle)

 ∴Δ0ABE∼ΔACD

⇒BEAB=CDAC

⇒BEh/2=4h

⇒BE=2K×h4=2cm

∴V1=31πR222h

=31π×42×2h

=32πh

V2=3

Step-by-step explanation:

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