Question

TUI I CILI
5.
A piece of metal in the form of a cone of radius 3 cm and height 7 cm is melted and cast into a cube.
Find the side of the cube. (Take m =​

Answer 1

Step-by-step explanation:

volume of cone=πr^2h/3

=(22/7)×3×3×7

=22×9

=198

=volume of cube

=a^3

=>. 198=a^3

a=3√198

=5.8284 (approx)

Answer 2

$\huge{\text{\underline{Question:-}}}$

A piece of metal in the form of a cone of radius 3 cm and height 7 cm is melted and cast into a cube. Find the side of the cube.

$\huge{\text{\underline{Solution:-}}}$

★ Given:-

• Radius = 3 cm
• Height = 7 cm

★ To find:-

• Side of the cube

$\huge{\text{\underline{Explaination:-}}}$

★ To find the volume of the cone:-

★ Using formula:-

$\large{\boxed{\tt{Volume = 1 / 3 × π × r^2 × h}}}$

★ Substituting:-

$\implies$Volume = 1 / 3 × π × 3² × 7

$\implies{\boxed{\tt{Volume = 66 \;cm^3}}}$

★ To find the side of the cube:-

$\implies$Volume = side³

$\implies$66 = side³

$\implies$side = ∛66

$\implies\boxed{\text{side = 4.04 cm}}$

Therefore,the side of the cube is 4.04cm.

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