Question

a largest possible right circular cylinder is cut out from a wooden cube of edge 7cm.find the volume of the wood left over after cutting the cylinder​

Answer 1

Concept:

From a wooden cube, a right circular cylinder is cut out. So to determine the volume of the wood we will subtract the volume of the circular cylinder that has been cut out from it.

Given:

Side of cube = 7cm

To find:

The volume of the wood left over after cutting the cylinder.

Solution:

Since from a wooden cube, a right circular cylinder is cut out. So to determine the volume of the wood we will subtract the volume of the circular cylinder that has been cut out from it.

So, we know that the volume of the cube = $a^{3}$ and

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

So now we have t subtract the volume of the cylinder from the volume of the cube

$a^{3}-\pi r^{2}h$

Also, we know that the height of the cylinder = the diameter of the cylinder = 7cm

$7^{3}-\frac{22}{7}*\frac{7}{2}*\frac{7}{2}*7\\ 343-\frac{11*49}{2} \\ 343-269.5\\ 73.5cm^{3}$

∴The volume of the wood left over after cutting the cylinder is $73.5cm^{3}$

#SPJ2

Answer 2

Answer:

Answer is 73.5 cm^3

Step-by-step explanation:

Area left = Total area - Area of cylinder

= a^3 - πr^2h

= 7^3 - 22/7×7/2÷7/2×7

= 73.5 cm^3

Mark me as the brainlist please