Question

If the height of a cone is equal to diameter of its
base, then what is the volume of cone ?​

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Answer 1

Answer:

given- height of cone(h) = diameter of its

base(d=2r)

so h=2r

volume of cone is given by- 1/3πr²h

=1/3πr²*2r

=2/3πr³

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Step-by-step explanation:

Answer 2

If the height of a cone is equal to diameter of its  base, then the volume of cone is:

$\text{Volume of cone } = \frac{2}{3} \pi r^3$

Solution:

The volume of cone is given as:

$\text{Volume of cone } = \frac{1}{3} \times \pi r^2 h$

Where,

"r" is the radius

"h" is the height

Given that,

height of a cone is equal to diameter of its  base

Therefore,

$h = d\\\\We\ know\ that\ diameter = 2\ radius$

Thus,

h = 2r

Therefore, substitute h = 2r in formula,

$\text{Volume of cone } = \frac{1}{3} \times \pi r^2 (2r)\\\\\text{Volume of cone } = \frac{2}{3} \pi r^3$

Thus the volume of cone is found

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