Question

the largest possible right circular cone is cut out of a cube of Edge 8 centimetre what is the volume of cone ​

Answer 1

Answer:

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Answer 2

$\huge{\underline{\underline{\red{\mathfrak{Answer :}}}}}$

$\LARGE{\underline{\bf{Given :}}}$

Edge of cube = 8 cm

Radius of cone = 4 cm (As it is cutted from a cube of side 8 cm)

Height of cone = 8 cm(As it is cutted from a cube of 8 cm)

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$\LARGE{\underline{\bf{To \: Find :}}}$

Volume of the cone

________________________

$\LARGE{\underline{\bf{Solution :}}}$

We know that,

$\Large{\boxed{\boxed{\purple{\sf{Volume = \frac{1}{3} \pi r^2 h}}}}}$

(Putting Values)

$\sf{volume = \frac{1}{3} \times \frac{22}{7} \times ( {4})^{2} \times 8 } \\ \\ \sf{volume \: = \frac{22}{21} \times 16 \times 8 } \\ \\ \sf{volume \: = \frac{2816}{21} } \\ \\ \sf{volume = 134.09 \: {cm}^{3} }$

$\large{\boxed{\green{\sf{Volume = 134.09 cm^3}}}}$

$\rule{200}{2}$

✪ Additional information :

$\boxed{</p><p>\begin{minipage}{7 cm}</p><p></p><p>Formula of cone \\ \\</p><p></p><p> Volume = \frac{1}{3} \pi r^2 h\\ \\</p><p></p><p>Total \: Surface \: area = \pi r^2 + \pi r \sqrt{h^2 + r^2}\\ \\</p><p></p><p>Lateral \: surface \: area \: = \pi r \sqrt {r^2 + h^2} </p><p></p><p>\end{minipage}}$

$\rule{200}{2}$

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