Question

the volume of cube is 4096cm3.If 4 similar right circular cylinders can fit completely inside a cube,find their height and diameter

Answer 1

hi bro.
check it out

°°°LIKE IF U R AGREE°°°
PLEASE MARK IT AS A BRAINLIEST ANSWER.

Answer 2

Answer:

Height of cylinder is 16 cm

Diameter of 4 cylinders = 16 cm

Diameter of 1 cylinder = 4 cm

Step-by-step explanation:

Volume of cube = $Side^{3}$

Since we are given that volume of cube is 4096 cubic cm.

So, $4096 =Side^{3}$

$\sqrt[3]{4096} =Side$

$16=Side$

Thus the side of cube is 16 cm

Now we are given that 4 similar right circular cylinders can fit completely inside a cube

So, this clears that the side of the cube will be the height of the each cylinder

So, Height of cylinder is 16 cm

Now the diameter of 4 cylinders is equal to the side of cube

So, diameter of 4 cylinders =16 cm

Diameter of 1 cylinder = $\frac{16}{4}=4$

Thus the height of cylinder is 16 cm

Diameter of 4 cylinders = 16 cm

Diameter of 1 cylinder = 4 cm