Question

the ratio of volume of Sphere and cone of same radius and same height is 2:1 is it true​

Answer 1

Answer: This statement is TRUE.

Step-by-step explanation:

Height of sphere = Diameter of sphere

& Height of sphere = Height of cone ..... (Given)

h = d

h = 2r .....(i)

=> 4/3πr3/ 1/3πr2h

=> 4r/h

=> 4r/2r

=> 4/2

=> 2/1

Answer 2

The given statement is true.

Given:

The ratio of volume of Sphere and cone of same radius and same height is 2:1.

To find:

Whether the given statement is right or wrong.

Formula used:

• Volume of sphere = $\frac{4}{3}$ × $\pi$ × radius³
• Volume of cone = $\frac{1}{3}$ × $\pi$ × radius² × Height

Explanation:

• Height of sphere is equal to diameter of sphere. = 2 × radius of sphere.
• Volume of sphere =  $\frac{4}{3}$ × $\pi$ × radius³
• Volume of cone= $\frac{1}{3}$ × $\pi$ × radius² × Height
• Height of cone and sphere is same.
• From above Height and radius canceled
• $\frac{Volume \ of \ sphere}{Volume \ of \ cone}$ = $\frac{2}{1}$
• Hence above statement is True.

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