Question

Consider the volumes of the following
1. A parallelopiped of length 5 cm, breadth 3 cm and height 4 cm
2. A cube of each side 4 cm
3. A cylinder of radius 3 cm and length 3 cm
4. A sphere of radius 3 cm
The volumes of these in the decreasing order is

• A. 1, 2, 3, 4
• B. 1, 3, 2, 4
• C. 4, 2, 3, 1
• D. 4, 3, 2, 1

Answer 1

The correct option is D 4, 3, 2, 1

$1,V=lbh=5\times 3\times 4=60c{m}^3$

$2,V=a^3=4^3=64c{m}^3$

$3,V=\pi r^{2}h=\pi \times 3^2\times 3=84.7c{m}^3$

$4,V=\frac{4}{3}\pi r^3=\frac{4}{3}\times \pi 3^3=113.04c{m}^2$

$\therefore$ order is $4,3,2,1$