Question

A largest possible sphere had been carved
from a cubical wooden block of edge 42 cm.
find the volume of the curved out wood.​

Answer 1

Given:

Length of the cubical wood = 42 cm

Therefore:

Largest possible diameter of the sphere = 42 cm

Find the radius of the sphere:

$\text{Radius } = \text{Diameter } \div 2$

$\text{Radius }= \text{42 } \div 2$

$\text{Radius }= 21 \text { cm}$

Find the volume of the sphere:

$\text{Volume of the sphere} = \dfrac{4}{3}\pi r^3$

$\text{Volume of the wood carved out} = \dfrac{4}{3}(\dfrac{22}{7}) (21)^3$

$\text{Volume of the wood carved out} = 38808 \text { cm}^3$

Answer: 38808 cm³

Answer 2

Answer:

Hope it works.............................™✌️✌️