Question

A solid right circular cylinder of height 1.21 m and diameter 28 cm is melted and recast into 7 equal solid cubes . find the edge of each cube.

Answer 1

Check the ans below

Answer 2

Answer:

0.21 m

Step-by-step explanation:

Height of cylinder = 1.21 m

Diameter of cylinder = 28 cm

Radius of cylinder = Diameter / 2 = $\frac{28}{2} =14 cm =0.14 m$

Volume of cylinder = $\pi r^{2} h$

                               = $3.14 \times (0.14)^{2}\times 1.21$

                               = $0.07446824 m^3$

Since we are given that the cone is melted and recast into 7 equal cubes .

So, volume of 7 cubes =  $0.07446824 m^3$

Since these 7 cubes are equal

Volume of 1 cube =  $\frac{0.07446824}{7}m^3$

Formula of volume of cube = $x^{3}$

where x is the side of the cube

So,  $\frac{0.07446824}{7}=x^{3}$

$0.01063832=x^{3}$

$0.21993=x$

Thus the side of the each cube is 0.21 m