Question

Which of the rectangular solids shown above has a volume closest to the volume of a right circular cylinder with radius $2$ and height $4$?

• A. $A$
• B. $B$
• C. $C$
• D. $D$
• E. $E$

Answer 1

The correct option is E $E$

Volume of cuboid $=length\left(l\right)\times breadth\left(b\right)\times height\left(h\right)$

A cuboid

$l=3$

$b=3$

$h=3$

$Volume=l\times b\times h$

$=3\times 3\times 3$

$=27$

B cuboid

$l=4$

$b=3$

$h=3$

$Volume=l\times b\times h$

$=4\times 3\times 3$

$=36$

C cuboid

$l=5$

$b=3$

$h=4$

$Volume=l\times b\times h$

$=5\times 3\times 4$

$=60$

D cuboid

$l=4$

$b=4$

$h=4$

$Volume=l\times b\times h$

$=4\times 4\times 4$

$=64$

E cuboid

$l=4$

$b=4$

$h=3$

$Volume=l\times b\times h$

$=4\times 4\times 3$

$=48$

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

Given:

$radius\left(r\right)=2$

$height\left(h\right)=4$

$Volume=3.14\times 2\times 2\times 4=50.24$

Therefore volume of cylinder is closest to E cuboid.