Math, asked by ToXcULT, 2 months ago

A cylinder and a cone have the same radius and height. The volume of the cylinder is 150 in^3. What is the volume of the cone?
1,884 in^3

150 in^3

450 in^3

50 in^3

Answers

Answered by umesh399718424467
2

Answer:

open the pic

Step-by-step explanation:

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Answered by KnowtoGrow
1

Answer:

Given:

  1. Radius of cylinder= Radius of cone = r
  2. Also, Height of the cylinder = Height of the cone = h
  3. The volume of cylinder = 150 in^{3}

To find: Volume of cone

Proof:

It is given that volume of cylinder =

\pi r^{2} h = 150 in^{3} \\ \\Now, volume of cone = 1/3 \pi r^{2} h\\         --------------(1)

Putting the value of \pi r^{2}h in (1), we get:

= \frac{1}{3} * 150 \\= 50 in^{3}

Hence, the volume of cone = (d) 50 in^{3}

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