The volume of a cone of radius 7 cm and slant height 14 cm is ______.(use π=22

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The volume of a cone of radius 7

c m

and slant height 14

c m

is ______.

(u s e π = \frac{22}{7})

Options:

A . 622.381 cm3

B . 722.381 cm3

C . 618.381 cm3

D . 522.381 cm3

Answer: Option A
:
A
Given,
Radius of the cone

r = 7 c m

Slant height of the cone

l = 14 c m

The Volume Of A Cone Of Radius 7 Cm And Slant Height 14 Cm I...

From the pythagoras theorem

l^{2} = h^{2}

+

r^{2}

,
height of the cone

h = \sqrt{14^{2} - 7^{2}}

h = \sqrt{147} = 12.1243 c m

Volume of a Cone

= \frac{1}{3} \times π \times r^{2} h

= \frac{1}{3} \times \frac{22}{7} \times 7^{2} \times 12.1243

= 622.381 c m^{3}

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