Question

What is the volume of the cone (in
c
m
3
) formed using the sector-shaped paper shown in the image?
​

Answer 1

Step-by-step explanation:

this question used on this formula

1/3 πr^2h

and solved the question

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Answer 2

Answer: , the correct answer is $36\pi \sqrt{5}$.

Step-by-step explanation:

As given, the area is = 54$\pi$

so now by this, we can find the value of r which is 6,

And as l=9 cm (given)

So now by the Pythagoras theorem,

$r^{2} +h^{2} =l^{2} \\6^{2} +h^{2} =9^{2} \\36+h^{2} = 81\\h^{2} =81-36\\h^{2}=45\\h=\sqrt{45}\\h=3*\sqrt{5}$

So now by the

$\frac{1}{3} \pi r^{2} h\\\frac{1}{3} \pi 6^{2}*3\sqrt{5} \\\frac{1}{3} \pi * 36 *3 \sqrt{5} \\\pi 12*3\sqrt{5} \\36\pi \sqrt{5}$

Hence, the correct answer is $36\pi \sqrt{5}$,

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