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Inessa05 [86]
2 years ago
8

The volume of a right cone is 21 pi units. If its circumference measures 6 pi units, find its height.

Mathematics
1 answer:
nydimaria [60]2 years ago
8 0
<h3>\huge\sf\blue{Solution :-}</h3>

<u>Given,</u>

Volume of cone = 21π cm³

& It's Circumference = 6π

Find Radius,

★ Circumference = πr²

=> 6π = πr

=> 6π/π = r

=> r = 6 cm

Now,

★Volume of cone = 1/3πr²h

<h3>=  > 21\pi =  \frac{1}{3} \times 36\pi \times h \\  =  > 21\pi = 12\pi \times h \\  =  >  \frac{21\pi}{12\pi}  = h \\  =  >  \frac{7}{4}  = h \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: =  > h \: = 1.75 \: cm</h3>

<h3>★Hence, The value of height is 1.75 cm</h3>

Hope it helps youu....!!!

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