Question

if the volume of a cube is 512 cm cube find the volume of a right circular cylinder that exactly fits in this cube

Answer 1

Hey There! This is your answer

Given,
Volume of cube = 512 cm³
Edge of cube =
$\sqrt[3]{512}$
= 8 cm

Now,
Height of cylinder fit inside it = 8 cm
Radius of base of cylinder = 8/2 cm

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

$= \: \frac{22}{7} \times \frac{8}{2} \times \frac{8}{2} \times 8$

$= \: \frac{22 \times 64 \times 8}{28}$

$= \: \frac{11264}{28}$
$= \: 402.28 \: {cm}^{3}$

PLEASE MARK ME BRAINLIEST

Answer 2

Answer:

Step-by-step explanation:

volume of cube=512

Side^3=512

Side=8 cm

Dimensions of cylinder=

Diameter=side of cube

D=8 cm r=4 cm

Height =side of cube

H=8 cm

Hence volume=pi.r.r.h

22/7.4.4.8

Volume=402.28 cm^3