Mathematics: Acone of daimeter 6cm and height 7cm is melted and recast into cube find side of cube

1/5x=18 1/5×x/1=18 X/5=18 X=18×5 X=90 90-(18+20)= 90-38= 52 other plants...

Acone of daimeter 6cm and height 7cm is melted and

feeandra

13.01.2022

The side of the cube is 4.04 cm.

Step-by-step explanation:

Given:

A cone of diameter 6cm and height 7 cm is melted and recast into cube.

Now, to find the side of the cube.

So, to get the volume of cone we put formula:

Radius = $\frac{Diameter}{2}=\frac{6}{2}=3\ cm.$

Height = 7 cm.

$Volume =\pi r^{2} \frac{h}{3}$

Taking the value of π =3.14.

$Volume =3.14\times 3^{2}\times \frac{7}{3}$

$Volume =3.14\times 9\times \frac{7}{3}$

$Volume =28.26\times \frac{7}{3}$

$Volume=\frac{197.82}{3}$

$Volume=65.94\ cm^3.$

As we know that after recast of any shape of a figure to another the volume remains the same.

Thus, the volume of melted and recast cube = 65.94 cm³.

Now, to get the side of the cube we put formula:

Volume = (side)^3.

⇒ 65.94=side^3.

Using cube root on both sides we get:

⇒ 4.04=side.

Side = 4.04 cm.

Therefore, the side of the cube is 4.04 cm.

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